400149792 has 144 divisors (see below), whose sum is σ = 1318786560. Its totient is φ = 112720896.

The previous prime is 400149769. The next prime is 400149809. The reversal of 400149792 is 297941004.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145809 + ... + 148527.

It is an arithmetic number, because the mean of its divisors is an integer number (9158240).

Almost surely, 2^400149792 is an apocalyptic number.

400149792 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 400149792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659393280).

400149792 is an abundant number, since it is smaller than the sum of its proper divisors (918636768).

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

400149792 is a wasteful number, since it uses less digits than its factorization.

400149792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 400149792 is about 20003.7444494775. The cubic root of 400149792 is about 736.8982613241.

The spelling of 400149792 in words is "four hundred million, one hundred forty-nine thousand, seven hundred ninety-two".