377845480 has 64 divisors (see below), whose sum is σ = 889788240. Its totient is φ = 144248832.

The previous prime is 377845477. The next prime is 377845483. The reversal of 377845480 is 84548773.

It is an interprime number because it is at equal distance from previous prime (377845477) and next prime (377845483).

It can be written as a sum of positive squares in 8 ways, for example, as 200902276 + 176943204 = 14174^2 + 13302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 377845480.

It is not an unprimeable number, because it can be changed into a prime (377845483) 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, 76032 + ... + 80848.

Almost surely, 2^377845480 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 377845480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444894120).

377845480 is an abundant number, since it is smaller than the sum of its proper divisors (511942760).

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

377845480 is a wasteful number, since it uses less digits than its factorization.

377845480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The square root of 377845480 is about 19438.2478634264. The cubic root of 377845480 is about 722.9441432896.

It can be divided in two parts, 37784 and 5480, that added together give a square (43264 = 208²).

The spelling of 377845480 in words is "three hundred seventy-seven million, eight hundred forty-five thousand, four hundred eighty".