724991400 has 288 divisors, whose sum is σ = 2807588160. Its totient is φ = 164229120.

The previous prime is 724991369. The next prime is 724991413. The reversal of 724991400 is 4199427.

724991400 is a `hidden beast` number, since 7 + 249 + 9 + 1 + 400 = 666.

It is a super-2 number, since 2×724991400² = 1051225060147920000, which contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 2053624 + ... + 2053976.

It is an arithmetic number, because the mean of its divisors is an integer number (9748570).

Almost surely, 2^724991400 is an apocalyptic number.

724991400 is a gapful number since it is divisible by the number (70) 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 724991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403794080).

724991400 is an abundant number, since it is smaller than the sum of its proper divisors (2082596760).

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

724991400 is a wasteful number, since it uses less digits than its factorization.

724991400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 724991400 is about 26925.6643372081. The cubic root of 724991400 is about 898.3473374574.

The spelling of 724991400 in words is "seven hundred twenty-four million, nine hundred ninety-one thousand, four hundred".