480657408 has 240 divisors, whose sum is σ = 1610563584. Its totient is φ = 123863040.

The previous prime is 480657361. The next prime is 480657451. The reversal of 480657408 is 804756084.

It is a super-3 number, since 3×480657408³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 480657408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784641 + ... + 3784767.

Almost surely, 2^480657408 is an apocalyptic number.

480657408 is a gapful number since it is divisible by the number (48) 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 480657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805281792).

480657408 is an abundant number, since it is smaller than the sum of its proper divisors (1129906176).

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

480657408 is a wasteful number, since it uses less digits than its factorization.

480657408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 480657408 is about 21923.9003829154. The cubic root of 480657408 is about 783.3308186831.

The spelling of 480657408 in words is "four hundred eighty million, six hundred fifty-seven thousand, four hundred eight".