4957815400 has 96 divisors (see below), whose sum is σ = 12239049240. Its totient is φ = 1861263360.

The previous prime is 4957815391. The next prime is 4957815409. The reversal of 4957815400 is 45187594.

It is an interprime number because it is at equal distance from previous prime (4957815391) and next prime (4957815409).

It can be written as a sum of positive squares in 12 ways, for example, as 238949764 + 4718865636 = 15458^2 + 68694^2 .

It is not an unprimeable number, because it can be changed into a prime (4957815409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347964 + ... + 1351636.

Almost surely, 2^4957815400 is an apocalyptic number.

4957815400 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 4957815400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119524620).

4957815400 is an abundant number, since it is smaller than the sum of its proper divisors (7281233840).

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

4957815400 is a wasteful number, since it uses less digits than its factorization.

4957815400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The square root of 4957815400 is about 70411.7561206934. The cubic root of 4957815400 is about 1705.1533818550.

The spelling of 4957815400 in words is "four billion, nine hundred fifty-seven million, eight hundred fifteen thousand, four hundred".