400874292 has 144 divisors (see below), whose sum is σ = 1302208320. Its totient is φ = 105706944.

The previous prime is 400874269. The next prime is 400874303. The reversal of 400874292 is 292478004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 65883 + ... + 71709.

Almost surely, 2^400874292 is an apocalyptic number.

400874292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400874292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651104160).

400874292 is an abundant number, since it is smaller than the sum of its proper divisors (901334028).

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

400874292 is a wasteful number, since it uses less digits than its factorization.

400874292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 400874292 is about 20021.8453694958. The cubic root of 400874292 is about 737.3427289657.

The spelling of 400874292 in words is "four hundred million, eight hundred seventy-four thousand, two hundred ninety-two".