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640461456 = 24324447649
BaseRepresentation
bin100110001011001…
…010101010010000
31122122010210221200
4212023022222100
52302424231311
6143315151200
721604555365
oct4613125220
91578123850
10640461456
112a9584198
1215a5a5500
13a28c449b
14610ba46c
153b361556
hex262caa90

640461456 has 30 divisors (see below), whose sum is σ = 1792402950. Its totient is φ = 213487104.

The previous prime is 640461439. The next prime is 640461541. The reversal of 640461456 is 654164046.

640461456 is a `hidden beast` number, since 640 + 4 + 6 + 1 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 543635856 + 96825600 = 23316^2 + 9840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 640461456.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2223681 + ... + 2223968.

It is an arithmetic number, because the mean of its divisors is an integer number (59746765).

Almost surely, 2640461456 is an apocalyptic number.

It is an amenable number.

640461456 is an abundant number, since it is smaller than the sum of its proper divisors (1151941494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640461456 is a wasteful number, since it uses less digits than its factorization.

640461456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447663 (or 4447654 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 640461456 is about 25307.3399629436. The cubic root of 640461456 is about 861.9809464227.

The spelling of 640461456 in words is "six hundred forty million, four hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4447649 8895298 13342947 17790596 26685894 35581192 40028841 53371788 71162384 80057682 106743576 160115364 213487152 320230728 640461456