400451553 has 32 divisors (see below), whose sum is σ = 604454400. Its totient is φ = 261975168.

The previous prime is 400451539. The next prime is 400451587. The reversal of 400451553 is 355154004.

It is not a de Polignac number, because 400451553 - 2⁸ = 400451297 is a prime.

It is a super-2 number, since 2×400451553² = 320722892600223618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400471553) 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, 419725 + ... + 420677.

It is an arithmetic number, because the mean of its divisors is an integer number (18889200).

Almost surely, 2^400451553 is an apocalyptic number.

It is an amenable number.

400451553 is a deficient number, since it is larger than the sum of its proper divisors (204002847).

400451553 is a wasteful number, since it uses less digits than its factorization.

400451553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 400451553 is about 20011.2856408578. The cubic root of 400451553 is about 737.0834513762.

The spelling of 400451553 in words is "four hundred million, four hundred fifty-one thousand, five hundred fifty-three".