4638902400 has 480 divisors, whose sum is σ = 18686281680. Its totient is φ = 1123891200.

The previous prime is 4638902399. The next prime is 4638902423. The reversal of 4638902400 is 42098364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2850387 + ... + 2852013.

Almost surely, 2^4638902400 is an apocalyptic number.

4638902400 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 4638902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343140840).

4638902400 is an abundant number, since it is smaller than the sum of its proper divisors (14047379280).

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

4638902400 is a wasteful number, since it uses less digits than its factorization.

4638902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4638902400 is about 68109.4883257832. The cubic root of 4638902400 is about 1667.7786570326.

The spelling of 4638902400 in words is "four billion, six hundred thirty-eight million, nine hundred two thousand, four hundred".