377260416 has 224 divisors, whose sum is σ = 1217427120. Its totient is φ = 115706880.

The previous prime is 377260361. The next prime is 377260441. The reversal of 377260416 is 614062773.

377260416 is a `hidden beast` number, since 37 + 7 + 2 + 604 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1212901 + ... + 1213211.

Almost surely, 2^377260416 is an apocalyptic number.

377260416 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 377260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608713560).

377260416 is an abundant number, since it is smaller than the sum of its proper divisors (840166704).

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

377260416 is an equidigital number, since it uses as much as digits as its factorization.

377260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 377260416 is about 19423.1927344605. The cubic root of 377260416 is about 722.5708098206.

The spelling of 377260416 in words is "three hundred seventy-seven million, two hundred sixty thousand, four hundred sixteen".