1045280400 has 120 divisors (see below), whose sum is σ = 3398618784. Its totient is φ = 274560000.

The previous prime is 1045280399. The next prime is 1045280407. The reversal of 1045280400 is 40825401.

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

It is a super-2 number, since 2×1045280400² = 2185222229248320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1045280407) 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, 73900 + ... + 86900.

Almost surely, 2^1045280400 is an apocalyptic number.

1045280400 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 1045280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699309392).

1045280400 is an abundant number, since it is smaller than the sum of its proper divisors (2353338384).

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

1045280400 is a wasteful number, since it uses less digits than its factorization.

1045280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13089 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1045280400 is about 32330.7964640527. The cubic root of 1045280400 is about 1014.8712172910.

The spelling of 1045280400 in words is "one billion, forty-five million, two hundred eighty thousand, four hundred".