403204438980 has 360 divisors, whose sum is σ = 1480793790168. Its totient is φ = 91571171328.

The previous prime is 403204438979. The next prime is 403204438999. The reversal of 403204438980 is 89834402304.

403204438980 is a `hidden beast` number, since 4 + 0 + 3 + 204 + 438 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69746697216 + 333457741764 = 264096^2 + 577458^2 .

It is a super-2 number, since 2×403204438980² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12446484 + ... + 12478836.

Almost surely, 2^403204438980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403204438980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740396895084).

403204438980 is an abundant number, since it is smaller than the sum of its proper divisors (1077589351188).

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

403204438980 is a wasteful number, since it uses less digits than its factorization.

403204438980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32545 (or 32527 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 403204438980 in words is "four hundred three billion, two hundred four million, four hundred thirty-eight thousand, nine hundred eighty".