1043408400 has 120 divisors (see below), whose sum is σ = 3457754880. Its totient is φ = 268638720.

The previous prime is 1043408393. The next prime is 1043408411. The reversal of 1043408400 is 48043401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19809 + ... + 49791.

It is an arithmetic number, because the mean of its divisors is an integer number (28814624).

Almost surely, 2^1043408400 is an apocalyptic number.

1043408400 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 1043408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728877440).

1043408400 is an abundant number, since it is smaller than the sum of its proper divisors (2414346480).

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

1043408400 is a wasteful number, since it uses less digits than its factorization.

1043408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30033 (or 30022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1043408400 is about 32301.8327653401. The cubic root of 1043408400 is about 1014.2650085986.

The spelling of 1043408400 in words is "one billion, forty-three million, four hundred eight thousand, four hundred".