400754112 has 112 divisors (see below), whose sum is σ = 1194230784. Its totient is φ = 117504000.

The previous prime is 400754111. The next prime is 400754113. The reversal of 400754112 is 211457004.

It is an interprime number because it is at equal distance from previous prime (400754111) and next prime (400754113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400754111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62412 + ... + 68532.

Almost surely, 2^400754112 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 400754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597115392).

400754112 is an abundant number, since it is smaller than the sum of its proper divisors (793476672).

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

400754112 is a wasteful number, since it uses less digits than its factorization.

400754112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 400754112 is about 20018.8439226645. The cubic root of 400754112 is about 737.2690377798.

The spelling of 400754112 in words is "four hundred million, seven hundred fifty-four thousand, one hundred twelve".