456311640 has 64 divisors (see below), whose sum is σ = 1373448960. Its totient is φ = 121281920.

The previous prime is 456311629. The next prime is 456311641. The reversal of 456311640 is 46113654.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 456311598 and 456311607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456311641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31207 + ... + 43433.

It is an arithmetic number, because the mean of its divisors is an integer number (21460140).

Almost surely, 2^456311640 is an apocalyptic number.

456311640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456311640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686724480).

456311640 is an abundant number, since it is smaller than the sum of its proper divisors (917137320).

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

456311640 is a wasteful number, since it uses less digits than its factorization.

456311640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 456311640 is about 21361.4521978259. The cubic root of 456311640 is about 769.8755294391.

The spelling of 456311640 in words is "four hundred fifty-six million, three hundred eleven thousand, six hundred forty".