372409408 has 84 divisors (see below), whose sum is σ = 866508300. Its totient is φ = 158333952.

The previous prime is 372409393. The next prime is 372409409. The reversal of 372409408 is 804904273.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 267387904 = 10248^2 + 16352^2 .

It is not an unprimeable number, because it can be changed into a prime (372409409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466866 + ... + 467662.

It is an arithmetic number, because the mean of its divisors is an integer number (10315575).

Almost surely, 2^372409408 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 372409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433254150).

372409408 is an abundant number, since it is smaller than the sum of its proper divisors (494098892).

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

372409408 is a wasteful number, since it uses less digits than its factorization.

372409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 372409408 is about 19297.9120114068. The cubic root of 372409408 is about 719.4603775602.

The spelling of 372409408 in words is "three hundred seventy-two million, four hundred nine thousand, four hundred eight".