1032998400 has 720 divisors, whose sum is σ = 4482949680. Its totient is φ = 232243200.

The previous prime is 1032998381. The next prime is 1032998423. The reversal of 1032998400 is 48992301.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 16934370 + ... + 16934430.

It is an arithmetic number, because the mean of its divisors is an integer number (6226319).

Almost surely, 2^1032998400 is an apocalyptic number.

1032998400 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 1032998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241474840).

1032998400 is an abundant number, since it is smaller than the sum of its proper divisors (3449951280).

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

1032998400 is an equidigital number, since it uses as much as digits as its factorization.

1032998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1032998400 is about 32140.2924691111. The cubic root of 1032998400 is about 1010.8806487678.

The spelling of 1032998400 in words is "one billion, thirty-two million, nine hundred ninety-eight thousand, four hundred".