400350153 has 32 divisors (see below), whose sum is σ = 648850176. Its totient is φ = 214345728.

The previous prime is 400350149. The next prime is 400350169. The reversal of 400350153 is 351053004.

It is not a de Polignac number, because 400350153 - 2² = 400350149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (400350103) 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 31 ways as a sum of consecutive naturals, for example, 80775 + ... + 85587.

It is an arithmetic number, because the mean of its divisors is an integer number (20276568).

Almost surely, 2^400350153 is an apocalyptic number.

It is an amenable number.

400350153 is a deficient number, since it is larger than the sum of its proper divisors (248500023).

400350153 is a wasteful number, since it uses less digits than its factorization.

400350153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 400350153 is about 20008.7519101017. The cubic root of 400350153 is about 737.0212328043.

The spelling of 400350153 in words is "four hundred million, three hundred fifty thousand, one hundred fifty-three".