416532480 has 384 divisors, whose sum is σ = 1651104000. Its totient is φ = 87293952.

The previous prime is 416532439. The next prime is 416532499. The reversal of 416532480 is 84235614.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2795446 + ... + 2795594.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^416532480 is an apocalyptic number.

416532480 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 416532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

416532480 is an abundant number, since it is smaller than the sum of its proper divisors (1234571520).

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

416532480 is a wasteful number, since it uses less digits than its factorization.

416532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 416532480 is about 20409.1273698804. The cubic root of 416532480 is about 746.8206031821.

The spelling of 416532480 in words is "four hundred sixteen million, five hundred thirty-two thousand, four hundred eighty".