462398976 has 320 divisors, whose sum is σ = 1539901440. Its totient is φ = 136028160.

The previous prime is 462398957. The next prime is 462398983. The reversal of 462398976 is 679893264.

It is a happy number.

462398976 is a `hidden beast` number, since 4 + 623 + 9 + 8 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5571031 + ... + 5571113.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^462398976 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 462398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

462398976 is an abundant number, since it is smaller than the sum of its proper divisors (1077502464).

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

462398976 is a wasteful number, since it uses less digits than its factorization.

462398976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 462398976 is about 21503.4642790412. The cubic root of 462398976 is about 773.2838758171.

The spelling of 462398976 in words is "four hundred sixty-two million, three hundred ninety-eight thousand, nine hundred seventy-six".