461004480 has 224 divisors, whose sum is σ = 1640433600. Its totient is φ = 121872384.

The previous prime is 461004463. The next prime is 461004499. The reversal of 461004480 is 84400164.

461004480 is a `hidden beast` number, since 4 + 610 + 0 + 4 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1978444 + ... + 1978676.

Almost surely, 2^461004480 is an apocalyptic number.

461004480 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 461004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820216800).

461004480 is an abundant number, since it is smaller than the sum of its proper divisors (1179429120).

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

461004480 is a wasteful number, since it uses less digits than its factorization.

461004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 461004480 is about 21471.0148805314. The cubic root of 461004480 is about 772.5057403664.

The spelling of 461004480 in words is "four hundred sixty-one million, four thousand, four hundred eighty".