374136480 has 144 divisors (see below), whose sum is σ = 1308087144. Its totient is φ = 97320960.

The previous prime is 374136449. The next prime is 374136481. The reversal of 374136480 is 84631473.

374136480 is a `hidden beast` number, since 3 + 7 + 4 + 1 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173290896 + 200845584 = 13164^2 + 14172^2 .

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 not an unprimeable number, because it can be changed into a prime (374136481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55872 + ... + 62208.

Almost surely, 2^374136480 is an apocalyptic number.

374136480 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 374136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654043572).

374136480 is an abundant number, since it is smaller than the sum of its proper divisors (933950664).

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

374136480 is a wasteful number, since it uses less digits than its factorization.

374136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 374136480 is about 19342.6078903544. The cubic root of 374136480 is about 720.5708435900.

The spelling of 374136480 in words is "three hundred seventy-four million, one hundred thirty-six thousand, four hundred eighty".