1045580400 has 360 divisors, whose sum is σ = 3895417344. Its totient is φ = 269049600.

The previous prime is 1045580383. The next prime is 1045580407. The reversal of 1045580400 is 40855401.

1045580400 is a `hidden beast` number, since 1 + 0 + 45 + 580 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045580407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3013027 + ... + 3013373.

Almost surely, 2^1045580400 is an apocalyptic number.

1045580400 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 1045580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947708672).

1045580400 is an abundant number, since it is smaller than the sum of its proper divisors (2849836944).

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

1045580400 is a wasteful number, since it uses less digits than its factorization.

1045580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1045580400 is about 32335.4356704839. The cubic root of 1045580400 is about 1014.9682988150.

The spelling of 1045580400 in words is "one billion, forty-five million, five hundred eighty thousand, four hundred".