372409416 has 96 divisors (see below), whose sum is σ = 1061424000. Its totient is φ = 117785472.

The previous prime is 372409409. The next prime is 372409439. The reversal of 372409416 is 614904273.

It is a super-2 number, since 2×372409416² = 277377546250922112, which contains 22 as substring.

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, 121681 + ... + 124703.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2^372409416 is an apocalyptic number.

372409416 is a gapful number since it is divisible by the number (36) 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 372409416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000).

372409416 is an abundant number, since it is smaller than the sum of its proper divisors (689014584).

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

372409416 is a wasteful number, since it uses less digits than its factorization.

372409416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 372409416 is about 19297.9122186831. The cubic root of 372409416 is about 719.4603827119.

It can be divided in two parts, 37240 and 9416, that added together give a 6-th power (46656 = 6⁶).

The spelling of 372409416 in words is "three hundred seventy-two million, four hundred nine thousand, four hundred sixteen".