370464640 has 128 divisors (see below), whose sum is σ = 1090192320. Its totient is φ = 117227520.

The previous prime is 370464623. The next prime is 370464649. The reversal of 370464640 is 46464073.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 370464596 and 370464605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370464649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55060 + ... + 61420.

Almost surely, 2^370464640 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 370464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545096160).

370464640 is an abundant number, since it is smaller than the sum of its proper divisors (719727680).

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

370464640 is a wasteful number, since it uses less digits than its factorization.

370464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 370464640 is about 19247.4580139820. The cubic root of 370464640 is about 718.2058208367.

The spelling of 370464640 in words is "three hundred seventy million, four hundred sixty-four thousand, six hundred forty".