402532584480 has 960 divisors, whose sum is σ = 1622693495808. Its totient is φ = 93252280320.

The previous prime is 402532584451. The next prime is 402532584527. The reversal of 402532584480 is 84485235204.

402532584480 is a `hidden beast` number, since 4 + 0 + 25 + 3 + 2 + 584 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 193245519 + ... + 193247601.

Almost surely, 2^402532584480 is an apocalyptic number.

402532584480 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 402532584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811346747904).

402532584480 is an abundant number, since it is smaller than the sum of its proper divisors (1220160911328).

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

402532584480 is a wasteful number, since it uses less digits than its factorization.

402532584480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 402532584480 in words is "four hundred two billion, five hundred thirty-two million, five hundred eighty-four thousand, four hundred eighty".