1040730400 has 144 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 401561600.

The previous prime is 1040730371. The next prime is 1040730401. The reversal of 1040730400 is 40370401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040730401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3346245 + ... + 3346555.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^1040730400 is an apocalyptic number.

1040730400 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 1040730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

1040730400 is an abundant number, since it is smaller than the sum of its proper divisors (1591601120).

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

1040730400 is a wasteful number, since it uses less digits than its factorization.

1040730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 1040730400 is about 32260.3533768618. The cubic root of 1040730400 is about 1013.3965315309.

The spelling of 1040730400 in words is "one billion, forty million, seven hundred thirty thousand, four hundred".