374406240 has 192 divisors, whose sum is σ = 1314532800. Its totient is φ = 88940544.

The previous prime is 374406223. The next prime is 374406299. The reversal of 374406240 is 42604473.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 374406198 and 374406207.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 179926 + ... + 181994.

It is an arithmetic number, because the mean of its divisors is an integer number (6846525).

Almost surely, 2^374406240 is an apocalyptic number.

374406240 is a gapful number since it is divisible by the number (30) 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 374406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657266400).

374406240 is an abundant number, since it is smaller than the sum of its proper divisors (940126560).

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

374406240 is a wasteful number, since it uses less digits than its factorization.

374406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 374406240 is about 19349.5798403996. The cubic root of 374406240 is about 720.7439840546.

The spelling of 374406240 in words is "three hundred seventy-four million, four hundred six thousand, two hundred forty".