462529152 has 96 divisors (see below), whose sum is σ = 1336289760. Its totient is φ = 153561600.

The previous prime is 462529147. The next prime is 462529153. The reversal of 462529152 is 251925264.

462529152 is a `hidden beast` number, since 4 + 625 + 29 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (462529153) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 357627 + ... + 358917.

It is an arithmetic number, because the mean of its divisors is an integer number (13919685).

Almost surely, 2^462529152 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 462529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668144880).

462529152 is an abundant number, since it is smaller than the sum of its proper divisors (873760608).

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

462529152 is a wasteful number, since it uses less digits than its factorization.

462529152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1607 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 462529152 is about 21506.4909271596. The cubic root of 462529152 is about 773.3564347703.

The spelling of 462529152 in words is "four hundred sixty-two million, five hundred twenty-nine thousand, one hundred fifty-two".