400506706250 has 288 divisors, whose sum is σ = 904874084352. Its totient is φ = 132468000000.

The previous prime is 400506706199. The next prime is 400506706277. The reversal of 400506706250 is 52607605004.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 400506706250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2096893655 + ... + 2096893845.

It is an arithmetic number, because the mean of its divisors is an integer number (3141923904).

Almost surely, 2^400506706250 is an apocalyptic number.

400506706250 is an abundant number, since it is smaller than the sum of its proper divisors (504367378102).

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

400506706250 is a wasteful number, since it uses less digits than its factorization.

400506706250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 400506706250 in words is "four hundred billion, five hundred six million, seven hundred six thousand, two hundred fifty".