4202598400 has 624 divisors, whose sum is σ = 14333332608. Its totient is φ = 1179648000.

The previous prime is 4202598397. The next prime is 4202598401. The reversal of 4202598400 is 48952024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202598401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102502380 + ... + 102502420.

Almost surely, 2^4202598400 is an apocalyptic number.

4202598400 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 4202598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166666304).

4202598400 is an abundant number, since it is smaller than the sum of its proper divisors (10130734208).

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

4202598400 is a wasteful number, since it uses less digits than its factorization.

4202598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 4202598400 is about 64827.4509756477. The cubic root of 4202598400 is about 1613.7613022736.

The spelling of 4202598400 in words is "four billion, two hundred two million, five hundred ninety-eight thousand, four hundred".