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464396420 = 225142916249
BaseRepresentation
bin11011101011100…
…010000010000100
31012100211210010102
4123223202002010
51422341141140
6114025343232
714336206265
oct3353420204
91170753112
10464396420
112191599a4
1210b637b18
137529a6a7
144596896c
152ab83e15
hex1bae2084

464396420 has 24 divisors (see below), whose sum is σ = 975975000. Its totient is φ = 185617152.

The previous prime is 464396419. The next prime is 464396437. The reversal of 464396420 is 24693464.

It can be written as a sum of positive squares in 4 ways, for example, as 5494336 + 458902084 = 2344^2 + 21422^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20456 + ... + 36704.

It is an arithmetic number, because the mean of its divisors is an integer number (40665625).

Almost surely, 2464396420 is an apocalyptic number.

It is an amenable number.

464396420 is an abundant number, since it is smaller than the sum of its proper divisors (511578580).

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

464396420 is a wasteful number, since it uses less digits than its factorization.

464396420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17687 (or 17685 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 464396420 is about 21549.8589322529. The cubic root of 464396420 is about 774.3957384884.

The spelling of 464396420 in words is "four hundred sixty-four million, three hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1429 2858 5716 7145 14290 16249 28580 32498 64996 81245 162490 324980 23219821 46439642 92879284 116099105 232198210 464396420