462881952 has 288 divisors, whose sum is σ = 1553872320. Its totient is φ = 134369280.

The previous prime is 462881917. The next prime is 462881959. The reversal of 462881952 is 259188264.

462881952 is a `hidden beast` number, since 4 + 628 + 8 + 19 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 462881898 and 462881907.

It is not an unprimeable number, because it can be changed into a prime (462881959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920552 + ... + 1920792.

It is an arithmetic number, because the mean of its divisors is an integer number (5395390).

Almost surely, 2^462881952 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 462881952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776936160).

462881952 is an abundant number, since it is smaller than the sum of its proper divisors (1090990368).

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

462881952 is a wasteful number, since it uses less digits than its factorization.

462881952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 462881952 is about 21514.6915385743. The cubic root of 462881952 is about 773.5530139536.

The spelling of 462881952 in words is "four hundred sixty-two million, eight hundred eighty-one thousand, nine hundred fifty-two".