4057483320 has 384 divisors, whose sum is σ = 15139656000. Its totient is φ = 965606400.

The previous prime is 4057483301. The next prime is 4057483327. The reversal of 4057483320 is 233847504.

It is a happy number.

4057483320 is a `hidden beast` number, since 4 + 0 + 574 + 83 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057483327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7971226 + ... + 7971734.

Almost surely, 2^4057483320 is an apocalyptic number.

4057483320 is a gapful number since it is divisible by the number (40) 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 4057483320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569828000).

4057483320 is an abundant number, since it is smaller than the sum of its proper divisors (11082172680).

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

4057483320 is a wasteful number, since it uses less digits than its factorization.

4057483320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4057483320 is about 63698.3776873477. The cubic root of 4057483320 is about 1594.9690045503.

The spelling of 4057483320 in words is "four billion, fifty-seven million, four hundred eighty-three thousand, three hundred twenty".