462939840 has 224 divisors, whose sum is σ = 1781982720. Its totient is φ = 112204800.

The previous prime is 462939839. The next prime is 462939857. The reversal of 462939840 is 48939264.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92605 + ... + 97475.

It is an arithmetic number, because the mean of its divisors is an integer number (7955280).

Almost surely, 2^462939840 is an apocalyptic number.

462939840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890991360).

462939840 is an abundant number, since it is smaller than the sum of its proper divisors (1319042880).

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

462939840 is a wasteful number, since it uses less digits than its factorization.

462939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 462939840 is about 21516.0368097845. The cubic root of 462939840 is about 773.5852594466.

The spelling of 462939840 in words is "four hundred sixty-two million, nine hundred thirty-nine thousand, eight hundred forty".