4649702400 has 792 divisors, whose sum is σ = 20164096320. Its totient is φ = 1028505600.

The previous prime is 4649702399. The next prime is 4649702429. The reversal of 4649702400 is 42079464.

4649702400 is a `hidden beast` number, since 4 + 649 + 7 + 0 + 2 + 4 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149990385 + ... + 149990415.

Almost surely, 2^4649702400 is an apocalyptic number.

4649702400 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 4649702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10082048160).

4649702400 is an abundant number, since it is smaller than the sum of its proper divisors (15514393920).

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

4649702400 is a wasteful number, since it uses less digits than its factorization.

4649702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4649702400 is about 68188.7263409429. The cubic root of 4649702400 is about 1669.0719262770.

Multiplying 4649702400 by its product of nonzero digits (48384), we get a square (224971200921600 = 14999040²).

4649702400 divided by its product of nonzero digits (48384) gives a square (96100 = 310²).

The spelling of 4649702400 in words is "four billion, six hundred forty-nine million, seven hundred two thousand, four hundred".