4495046400 has 1080 divisors, whose sum is σ = 19320950880. Its totient is φ = 1021870080.

The previous prime is 4495046383. The next prime is 4495046419. The reversal of 4495046400 is 46405944.

4495046400 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 155001586 + ... + 155001614.

Almost surely, 2^4495046400 is an apocalyptic number.

4495046400 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 4495046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660475440).

4495046400 is an abundant number, since it is smaller than the sum of its proper divisors (14825904480).

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

4495046400 is a wasteful number, since it uses less digits than its factorization.

4495046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4495046400 is about 67045.1072040309. The cubic root of 4495046400 is about 1650.3576084395.

The spelling of 4495046400 in words is "four billion, four hundred ninety-five million, forty-six thousand, four hundred".