400077633 has 32 divisors (see below), whose sum is σ = 566473600. Its totient is φ = 250822656.

The previous prime is 400077607. The next prime is 400077653. The reversal of 400077633 is 336770004.

It is a de Polignac number, because none of the positive numbers 2^k-400077633 is a prime.

It is a super-2 number, since 2×400077633² = 320124224853765378, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400077633.

It is not an unprimeable number, because it can be changed into a prime (400077653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519873 + ... + 520641.

It is an arithmetic number, because the mean of its divisors is an integer number (17702300).

Almost surely, 2^400077633 is an apocalyptic number.

400077633 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

400077633 is a deficient number, since it is larger than the sum of its proper divisors (166395967).

400077633 is a wasteful number, since it uses less digits than its factorization.

400077633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961.

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 400077633 is about 20001.9407308391. The cubic root of 400077633 is about 736.8539637142.

The spelling of 400077633 in words is "four hundred million, seventy-seven thousand, six hundred thirty-three".