400903140 has 96 divisors (see below), whose sum is σ = 1257750144. Its totient is φ = 94556160.

The previous prime is 400903121. The next prime is 400903169. The reversal of 400903140 is 41309004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16212 + ... + 32628.

It is an arithmetic number, because the mean of its divisors is an integer number (13101564).

Almost surely, 2^400903140 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 400903140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628875072).

400903140 is an abundant number, since it is smaller than the sum of its proper divisors (856847004).

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

400903140 is a wasteful number, since it uses less digits than its factorization.

400903140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16477 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 400903140 is about 20022.5657696510. The cubic root of 400903140 is about 737.3604156015.

The spelling of 400903140 in words is "four hundred million, nine hundred three thousand, one hundred forty".