462404880 has 240 divisors, whose sum is σ = 1852381440. Its totient is φ = 101071872.

The previous prime is 462404867. The next prime is 462404911. The reversal of 462404880 is 88404264.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113926 + ... + 117914.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^462404880 is an apocalyptic number.

462404880 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 462404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926190720).

462404880 is an abundant number, since it is smaller than the sum of its proper divisors (1389976560).

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

462404880 is a wasteful number, since it uses less digits than its factorization.

462404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 462404880 is about 21503.6015588087. The cubic root of 462404880 is about 773.2871669494.

The spelling of 462404880 in words is "four hundred sixty-two million, four hundred four thousand, eight hundred eighty".