400545090 has 72 divisors (see below), whose sum is σ = 1144729404. Its totient is φ = 97099200.

The previous prime is 400545083. The next prime is 400545121. The reversal of 400545090 is 90545004.

It can be written as a sum of positive squares in 2 ways, for example, as 333026001 + 67519089 = 18249^2 + 8217^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7501 + ... + 29280.

Almost surely, 2^400545090 is an apocalyptic number.

400545090 is an abundant number, since it is smaller than the sum of its proper divisors (744184314).

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

400545090 is a wasteful number, since it uses less digits than its factorization.

400545090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36816 (or 36802 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 400545090 is about 20013.6226106120. The cubic root of 400545090 is about 737.1408359354.

It can be divided in two parts, 400 and 545090, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 400545090 in words is "four hundred million, five hundred forty-five thousand, ninety".