408576960 has 280 divisors, whose sum is σ = 1586612016. Its totient is φ = 98979840.

The previous prime is 408576913. The next prime is 408576983. The reversal of 408576960 is 69675804.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284404 + ... + 285836.

Almost surely, 2^408576960 is an apocalyptic number.

408576960 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 408576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793306008).

408576960 is an abundant number, since it is smaller than the sum of its proper divisors (1178035056).

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

408576960 is a wasteful number, since it uses less digits than its factorization.

408576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 408576960 is about 20213.2867193834. The cubic root of 408576960 is about 742.0353995845.

The spelling of 408576960 in words is "four hundred eight million, five hundred seventy-six thousand, nine hundred sixty".