456412436028 has 36 divisors (see below), whose sum is σ = 1184890546840. Its totient is φ = 148025654496.

The previous prime is 456412435951. The next prime is 456412436087. The reversal of 456412436028 is 820634214654.

456412436028 is a `hidden beast` number, since 4 + 564 + 1 + 2 + 4 + 3 + 60 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×456412436028² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171324658 + ... + 171327321.

Almost surely, 2^456412436028 is an apocalyptic number.

It is an amenable number.

456412436028 is an abundant number, since it is smaller than the sum of its proper divisors (728478110812).

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

456412436028 is a wasteful number, since it uses less digits than its factorization.

456412436028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342652026 (or 342652021 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 456412436028 in words is "four hundred fifty-six billion, four hundred twelve million, four hundred thirty-six thousand, twenty-eight".