456958960 has 20 divisors (see below), whose sum is σ = 1062429768. Its totient is φ = 182783552.

The previous prime is 456958939. The next prime is 456958973. The reversal of 456958960 is 69859654.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×456958960² = 417622982248563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456958898 and 456958907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2855914 + ... + 2856073.

Almost surely, 2^456958960 is an apocalyptic number.

456958960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456958960 is an abundant number, since it is smaller than the sum of its proper divisors (605470808).

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

456958960 is a wasteful number, since it uses less digits than its factorization.

456958960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712000 (or 5711994 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The square root of 456958960 is about 21376.5984197674. The cubic root of 456958960 is about 770.2394038289.

The spelling of 456958960 in words is "four hundred fifty-six million, nine hundred fifty-eight thousand, nine hundred sixty".