1045782900 has 360 divisors, whose sum is σ = 3599519616. Its totient is φ = 262310400.

The previous prime is 1045782877. The next prime is 1045782917. The reversal of 1045782900 is 92875401.

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 119 ways as a sum of consecutive naturals, for example, 15608667 + ... + 15608733.

Almost surely, 2^1045782900 is an apocalyptic number.

1045782900 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 1045782900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799759808).

1045782900 is an abundant number, since it is smaller than the sum of its proper divisors (2553736716).

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

1045782900 is a wasteful number, since it uses less digits than its factorization.

1045782900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1045782900 is about 32338.5667585934. The cubic root of 1045782900 is about 1015.0338183463.

The spelling of 1045782900 in words is "one billion, forty-five million, seven hundred eighty-two thousand, nine hundred".