4582964400 has 240 divisors, whose sum is σ = 16944105984. Its totient is φ = 1037168640.

The previous prime is 4582964389. The next prime is 4582964471. The reversal of 4582964400 is 44692854.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862552 + ... + 867848.

Almost surely, 2^4582964400 is an apocalyptic number.

4582964400 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 4582964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472052992).

4582964400 is an abundant number, since it is smaller than the sum of its proper divisors (12361141584).

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

4582964400 is a wasteful number, since it uses less digits than its factorization.

4582964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4582964400 is about 67697.5952305545. The cubic root of 4582964400 is about 1661.0479181968.

The spelling of 4582964400 in words is "four billion, five hundred eighty-two million, nine hundred sixty-four thousand, four hundred".