1598409840 has 320 divisors, whose sum is σ = 5420224512. Its totient is φ = 388608000.

The previous prime is 1598409833. The next prime is 1598409847. The reversal of 1598409840 is 489048951.

It is an interprime number because it is at equal distance from previous prime (1598409833) and next prime (1598409847).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1598409840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1598409847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15825790 + ... + 15825890.

Almost surely, 2^1598409840 is an apocalyptic number.

1598409840 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 1598409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710112256).

1598409840 is an abundant number, since it is smaller than the sum of its proper divisors (3821814672).

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

1598409840 is a wasteful number, since it uses less digits than its factorization.

1598409840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 1598409840 is about 39980.1180588552. The cubic root of 1598409840 is about 1169.2194955142.

The spelling of 1598409840 in words is "one billion, five hundred ninety-eight million, four hundred nine thousand, eight hundred forty".