4539290400 has 216 divisors, whose sum is σ = 16398145764. Its totient is φ = 1180876800.

The previous prime is 4539290383. The next prime is 4539290423. The reversal of 4539290400 is 40929354.

It can be written as a sum of positive squares in 6 ways, for example, as 2091415824 + 2447874576 = 45732^2 + 49476^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287512 + ... + 302888.

Almost surely, 2^4539290400 is an apocalyptic number.

4539290400 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 4539290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199072882).

4539290400 is an abundant number, since it is smaller than the sum of its proper divisors (11858855364).

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

4539290400 is a wasteful number, since it uses less digits than its factorization.

4539290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15444 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4539290400 is about 67374.2562111078. The cubic root of 4539290400 is about 1655.7546720523.

The spelling of 4539290400 in words is "four billion, five hundred thirty-nine million, two hundred ninety thousand, four hundred".