400747004 has 48 divisors (see below), whose sum is σ = 830269440. Its totient is φ = 165688320.

The previous prime is 400746949. The next prime is 400747007.

400747004 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×400747004² = 321196322429952032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400747007) 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 15 ways as a sum of consecutive naturals, for example, 91292 + ... + 95580.

It is an arithmetic number, because the mean of its divisors is an integer number (17297280).

Almost surely, 2^400747004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400747004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

400747004 is an abundant number, since it is smaller than the sum of its proper divisors (429522436).

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

400747004 is a wasteful number, since it uses less digits than its factorization.

400747004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 400747004 is about 20018.6663891479. Note that the first 3 decimals coincide. The cubic root of 400747004 is about 737.2646788814.

The spelling of 400747004 in words is "four hundred million, seven hundred forty-seven thousand, four".