400033248 has 48 divisors (see below), whose sum is σ = 1063399680. Its totient is φ = 131654016.

The previous prime is 400033229. The next prime is 400033261. The reversal of 400033248 is 842330004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18790 + ... + 33957.

It is an arithmetic number, because the mean of its divisors is an integer number (22154160).

Almost surely, 2^400033248 is an apocalyptic number.

400033248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

400033248 is an abundant number, since it is smaller than the sum of its proper divisors (663366432).

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

400033248 is a wasteful number, since it uses less digits than its factorization.

400033248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52839 (or 52831 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 400033248 is about 20000.8311827284. The cubic root of 400033248 is about 736.8267136090.

The spelling of 400033248 in words is "four hundred million, thirty-three thousand, two hundred forty-eight".