480659400 has 384 divisors, whose sum is σ = 1837382400. Its totient is φ = 114739200.

The previous prime is 480659351. The next prime is 480659401. The reversal of 480659400 is 4956084.

It is a super-3 number, since 3×480659400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480659401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2878117 + ... + 2878283.

It is an arithmetic number, because the mean of its divisors is an integer number (4784850).

Almost surely, 2^480659400 is an apocalyptic number.

480659400 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 480659400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918691200).

480659400 is an abundant number, since it is smaller than the sum of its proper divisors (1356723000).

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

480659400 is a wasteful number, since it uses less digits than its factorization.

480659400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 480659400 is about 21923.9458127409. The cubic root of 480659400 is about 783.3319008072.

The spelling of 480659400 in words is "four hundred eighty million, six hundred fifty-nine thousand, four hundred".