400985298756 has 81 divisors (see below), whose sum is σ = 1179165933309. Its totient is φ = 114559629408.

The previous prime is 400985298751. The next prime is 400985298793. The reversal of 400985298756 is 657892589004.

The square root of 400985298756 is 633234.

It is a perfect power (a square), and thus also a powerful number.

400985298756 is a `hidden beast` number, since 400 + 9 + 85 + 29 + 87 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11878820100 + 389106478656 = 108990^2 + 623784^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 400985298693 and 400985298702.

It is not an unprimeable number, because it can be changed into a prime (400985298751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26588290 + ... + 26603366.

Almost surely, 2^400985298756 is an apocalyptic number.

400985298756 is the 633234-th square number.

It is an amenable number.

400985298756 is an abundant number, since it is smaller than the sum of its proper divisors (778180634553).

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

400985298756 is an equidigital number, since it uses as much as digits as its factorization.

400985298756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30178 (or 15089 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 400985298756 in words is "four hundred billion, nine hundred eighty-five million, two hundred ninety-eight thousand, seven hundred fifty-six".