400158720 has 312 divisors, whose sum is σ = 1502688096. Its totient is φ = 97910784.

The previous prime is 400158691. The next prime is 400158727. The reversal of 400158720 is 27851004.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-3 number, since 3×400158720³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400158727) 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 23 ways as a sum of consecutive naturals, for example, 2396077 + ... + 2396243.

It is an arithmetic number, because the mean of its divisors is an integer number (4816308).

Almost surely, 2^400158720 is an apocalyptic number.

400158720 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 400158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751344048).

400158720 is an abundant number, since it is smaller than the sum of its proper divisors (1102529376).

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

400158720 is a wasteful number, since it uses less digits than its factorization.

400158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 400158720 is about 20003.9676064525. The cubic root of 400158720 is about 736.9037417541.

The spelling of 400158720 in words is "four hundred million, one hundred fifty-eight thousand, seven hundred twenty".