400251150 has 216 divisors, whose sum is σ = 1230133320. Its totient is φ = 93000960.

The previous prime is 400251119. The next prime is 400251157. The reversal of 400251150 is 51152004.

400251150 is a `hidden beast` number, since 400 + 251 + 15 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400251157) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1444812 + ... + 1445088.

Almost surely, 2^400251150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400251150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615066660).

400251150 is an abundant number, since it is smaller than the sum of its proper divisors (829882170).

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

400251150 is a wasteful number, since it uses less digits than its factorization.

400251150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 400251150 is about 20006.2777647417. The cubic root of 400251150 is about 736.9604748835.

The spelling of 400251150 in words is "four hundred million, two hundred fifty-one thousand, one hundred fifty".