480902400 has 648 divisors, whose sum is σ = 2022578880. Its totient is φ = 111513600.

The previous prime is 480902393. The next prime is 480902419. The reversal of 480902400 is 4209084.

It is a super-3 number, since 3×480902400³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20908789 + ... + 20908811.

Almost surely, 2^480902400 is an apocalyptic number.

480902400 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 480902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011289440).

480902400 is an abundant number, since it is smaller than the sum of its proper divisors (1541676480).

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

480902400 is a wasteful number, since it uses less digits than its factorization.

480902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480902400 is about 21929.4869981037. The cubic root of 480902400 is about 783.4638844831.

The spelling of 480902400 in words is "four hundred eighty million, nine hundred two thousand, four hundred".