400464090 has 144 divisors (see below), whose sum is σ = 1142319672. Its totient is φ = 97284096.

The previous prime is 400464089. The next prime is 400464137. The reversal of 400464090 is 90464004.

It can be written as a sum of positive squares in 12 ways, for example, as 110817729 + 289646361 = 10527^2 + 17019^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1718614 + ... + 1718846.

Almost surely, 2^400464090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400464090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571159836).

400464090 is an abundant number, since it is smaller than the sum of its proper divisors (741855582).

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

400464090 is a wasteful number, since it uses less digits than its factorization.

400464090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 400464090 is about 20011.5988866457. The cubic root of 400464090 is about 737.0911432920.

The spelling of 400464090 in words is "four hundred million, four hundred sixty-four thousand, ninety".