456137232 has 20 divisors (see below), whose sum is σ = 1178354640. Its totient is φ = 152045728.

The previous prime is 456137203. The next prime is 456137261. The reversal of 456137232 is 232731654.

It is an interprime number because it is at equal distance from previous prime (456137203) and next prime (456137261).

It is a super-2 number, since 2×456137232² = 416122348833243648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456137193 and 456137202.

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, 4751382 + ... + 4751477.

It is an arithmetic number, because the mean of its divisors is an integer number (58917732).

Almost surely, 2^456137232 is an apocalyptic number.

It is an amenable number.

456137232 is an abundant number, since it is smaller than the sum of its proper divisors (722217408).

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

456137232 is a wasteful number, since it uses less digits than its factorization.

456137232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502870 (or 9502864 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 456137232 is about 21357.3695009474. The cubic root of 456137232 is about 769.7774315968. Note that the first 3 decimals are identical.

Adding to 456137232 its reverse (232731654), we get a palindrome (688868886).

The spelling of 456137232 in words is "four hundred fifty-six million, one hundred thirty-seven thousand, two hundred thirty-two".