4380998400 has 432 divisors, whose sum is σ = 16314962720. Its totient is φ = 1164533760.

The previous prime is 4380998381. The next prime is 4380998417. The reversal of 4380998400 is 48990834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13996644 + ... + 13996956.

Almost surely, 2^4380998400 is an apocalyptic number.

4380998400 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 4380998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157481360).

4380998400 is an abundant number, since it is smaller than the sum of its proper divisors (11933964320).

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

4380998400 is an frugal number, since it uses more digits than its factorization.

4380998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4380998400 is about 66189.1108869125. The cubic root of 4380998400 is about 1636.2802866637.

The spelling of 4380998400 in words is "four billion, three hundred eighty million, nine hundred ninety-eight thousand, four hundred".