400376954250 has 480 divisors, whose sum is σ = 1360371619152. Its totient is φ = 84460320000.

The previous prime is 400376954221. The next prime is 400376954309. The reversal of 400376954250 is 52459673004.

400376954250 is a `hidden beast` number, since 40 + 0 + 3 + 7 + 69 + 542 + 5 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12448534329 + 387928419921 = 111573^2 + 622839^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 400376954196 and 400376954205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 70226400 + ... + 70232100.

Almost surely, 2^400376954250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400376954250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680185809576).

400376954250 is an abundant number, since it is smaller than the sum of its proper divisors (959994664902).

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

400376954250 is a wasteful number, since it uses less digits than its factorization.

400376954250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 400376954250 in words is "four hundred billion, three hundred seventy-six million, nine hundred fifty-four thousand, two hundred fifty".