377463840 has 192 divisors, whose sum is σ = 1290909312. Its totient is φ = 92160000.

The previous prime is 377463809. The next prime is 377463841. The reversal of 377463840 is 48364773.

It is a super-3 number, since 3×377463840³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 377463792 and 377463801.

It is not an unprimeable number, because it can be changed into a prime (377463841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503715 + ... + 1503965.

It is an arithmetic number, because the mean of its divisors is an integer number (6723486).

Almost surely, 2^377463840 is an apocalyptic number.

377463840 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 377463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645454656).

377463840 is an abundant number, since it is smaller than the sum of its proper divisors (913445472).

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

377463840 is a wasteful number, since it uses less digits than its factorization.

377463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 377463840 is about 19428.4286549376. The cubic root of 377463840 is about 722.7006598541.

The spelling of 377463840 in words is "three hundred seventy-seven million, four hundred sixty-three thousand, eight hundred forty".