377485416 has 288 divisors, whose sum is σ = 1325263680. Its totient is φ = 95961600.

The previous prime is 377485399. The next prime is 377485439. The reversal of 377485416 is 614584773.

377485416 is a `hidden beast` number, since 37 + 74 + 8 + 541 + 6 = 666.

Its product of digits (564480) is a multiple of the sum of its prime factors (245).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2755300 + ... + 2755436.

It is an arithmetic number, because the mean of its divisors is an integer number (4601610).

Almost surely, 2^377485416 is an apocalyptic number.

377485416 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 377485416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662631840).

377485416 is an abundant number, since it is smaller than the sum of its proper divisors (947778264).

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

377485416 is a wasteful number, since it uses less digits than its factorization.

377485416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 377485416 is about 19428.9839157893. The cubic root of 377485416 is about 722.7144295548.

The spelling of 377485416 in words is "three hundred seventy-seven million, four hundred eighty-five thousand, four hundred sixteen".