462804480 has 240 divisors, whose sum is σ = 1637372880. Its totient is φ = 120766464.

The previous prime is 462804469. The next prime is 462804521. The reversal of 462804480 is 84408264.

462804480 is a `hidden beast` number, since 462 + 80 + 44 + 80 = 666.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220931 + ... + 1221309.

It is an arithmetic number, because the mean of its divisors is an integer number (6822387).

Almost surely, 2^462804480 is an apocalyptic number.

462804480 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 462804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818686440).

462804480 is an abundant number, since it is smaller than the sum of its proper divisors (1174568400).

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

462804480 is a wasteful number, since it uses less digits than its factorization.

462804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

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

The square root of 462804480 is about 21512.8910191076. The cubic root of 462804480 is about 773.5098553307.

The spelling of 462804480 in words is "four hundred sixty-two million, eight hundred four thousand, four hundred eighty".