4895409600 has 126 divisors (see below), whose sum is σ = 17399492760. Its totient is φ = 1305438720.

The previous prime is 4895409599. The next prime is 4895409661. The reversal of 4895409600 is 69045984.

It is a happy number.

4895409600 is a `hidden beast` number, since 48 + 9 + 540 + 9 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 155580 + ... + 184379.

Almost surely, 2^4895409600 is an apocalyptic number.

4895409600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4895409600 is an abundant number, since it is smaller than the sum of its proper divisors (12504083160).

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

4895409600 is a wasteful number, since it uses less digits than its factorization.

4895409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339987 (or 339969 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4895409600 is about 69967.2037457551. The cubic root of 4895409600 is about 1697.9686925850.

The spelling of 4895409600 in words is "four billion, eight hundred ninety-five million, four hundred nine thousand, six hundred".