400745880 has 160 divisors (see below), whose sum is σ = 1355151600. Its totient is φ = 106655616.

The previous prime is 400745869. The next prime is 400745887. The reversal of 400745880 is 88547004.

400745880 is a `hidden beast` number, since 4 + 0 + 0 + 74 + 588 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400745887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 787066 + ... + 787574.

Almost surely, 2^400745880 is an apocalyptic number.

400745880 is a gapful number since it is divisible by the number (40) 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 400745880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677575800).

400745880 is an abundant number, since it is smaller than the sum of its proper divisors (954405720).

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

400745880 is an frugal number, since it uses more digits than its factorization.

400745880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 400745880 is about 20018.6383153300. The cubic root of 400745880 is about 737.2639895968.

It can be divided in two parts, 40074 and 5880, that added together give a palindrome (45954).

The spelling of 400745880 in words is "four hundred million, seven hundred forty-five thousand, eight hundred eighty".