4602790400 has 240 divisors, whose sum is σ = 12431496000. Its totient is φ = 1678786560.

The previous prime is 4602790393. The next prime is 4602790403. The reversal of 4602790400 is 40972064.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4602790403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23129501 + ... + 23129699.

It is an arithmetic number, because the mean of its divisors is an integer number (51797900).

Almost surely, 2^4602790400 is an apocalyptic number.

4602790400 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 4602790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215748000).

4602790400 is an abundant number, since it is smaller than the sum of its proper divisors (7828705600).

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

4602790400 is a wasteful number, since it uses less digits than its factorization.

4602790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 4602790400 is about 67843.8678142690. The cubic root of 4602790400 is about 1663.4397152141.

The spelling of 4602790400 in words is "four billion, six hundred two million, seven hundred ninety thousand, four hundred".