462525952 has 160 divisors (see below), whose sum is σ = 1143926784. Its totient is φ = 182476800.

The previous prime is 462525923. The next prime is 462525967. The reversal of 462525952 is 259525264.

It is a super-3 number, since 3×462525952³ (a number of 27 digits) contains 333 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2555302 + ... + 2555482.

Almost surely, 2^462525952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571963392).

462525952 is an abundant number, since it is smaller than the sum of its proper divisors (681400832).

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

462525952 is a wasteful number, since it uses less digits than its factorization.

462525952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

The square root of 462525952 is about 21506.4165308868. The cubic root of 462525952 is about 773.3546512818.

The spelling of 462525952 in words is "four hundred sixty-two million, five hundred twenty-five thousand, nine hundred fifty-two".