4472582400 has 864 divisors, whose sum is σ = 19374176640. Its totient is φ = 995328000.

The previous prime is 4472582383. The next prime is 4472582417. The reversal of 4472582400 is 42852744.

4472582400 is a `hidden beast` number, since 4 + 4 + 72 + 582 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4472582383) and next prime (4472582417).

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 24710310 + ... + 24710490.

Almost surely, 2^4472582400 is an apocalyptic number.

4472582400 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 4472582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687088320).

4472582400 is an abundant number, since it is smaller than the sum of its proper divisors (14901594240).

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

4472582400 is a wasteful number, since it uses less digits than its factorization.

4472582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4472582400 is about 66877.3683692772. The cubic root of 4472582400 is about 1647.6037945326.

The spelling of 4472582400 in words is "four billion, four hundred seventy-two million, five hundred eighty-two thousand, four hundred".