400378720 has 192 divisors, whose sum is σ = 1127831040. Its totient is φ = 131493888.

The previous prime is 400378717. The next prime is 400378721. The reversal of 400378720 is 27873004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400378721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4823799 + ... + 4823881.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2^400378720 is an apocalyptic number.

400378720 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 400378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563915520).

400378720 is an abundant number, since it is smaller than the sum of its proper divisors (727452320).

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

400378720 is a wasteful number, since it uses less digits than its factorization.

400378720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 400378720 is about 20009.4657599847. The cubic root of 400378720 is about 737.0387624465.

The spelling of 400378720 in words is "four hundred million, three hundred seventy-eight thousand, seven hundred twenty".