1598972400 has 300 divisors, whose sum is σ = 6078240432. Its totient is φ = 401172480.

The previous prime is 1598972387. The next prime is 1598972429. The reversal of 1598972400 is 42798951.

1598972400 is a `hidden beast` number, since 159 + 8 + 97 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 549349 + ... + 552251.

Almost surely, 2^1598972400 is an apocalyptic number.

1598972400 is a gapful number since it is divisible by the number (10) 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 1598972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039120216).

1598972400 is an abundant number, since it is smaller than the sum of its proper divisors (4479268032).

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

1598972400 is a wasteful number, since it uses less digits than its factorization.

1598972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1598972400 is about 39987.1529369121. The cubic root of 1598972400 is about 1169.3566482753.

The spelling of 1598972400 in words is "one billion, five hundred ninety-eight million, nine hundred seventy-two thousand, four hundred".