480372787440 has 400 divisors, whose sum is σ = 2053425114048. Its totient is φ = 101353254912.

The previous prime is 480372787381. The next prime is 480372787451. The reversal of 480372787440 is 44787273084.

480372787440 is a `hidden beast` number, since 480 + 37 + 27 + 8 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 182364 + ... + 996996.

Almost surely, 2^480372787440 is an apocalyptic number.

480372787440 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 480372787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026712557024).

480372787440 is an abundant number, since it is smaller than the sum of its proper divisors (1573052326608).

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

480372787440 is a wasteful number, since it uses less digits than its factorization.

480372787440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814678 (or 814663 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 480372787440 in words is "four hundred eighty billion, three hundred seventy-two million, seven hundred eighty-seven thousand, four hundred forty".