1045651200 has 216 divisors, whose sum is σ = 3765342336. Its totient is φ = 253440000.

The previous prime is 1045651199. The next prime is 1045651219. The reversal of 1045651200 is 21565401.

1045651200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1045651200² = 2186772864122880000, which contains 22 as substring.

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

It is a congruent number.

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, 208725 + ... + 213675.

Almost surely, 2^1045651200 is an apocalyptic number.

1045651200 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 1045651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882671168).

1045651200 is an abundant number, since it is smaller than the sum of its proper divisors (2719691136).

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

1045651200 is a wasteful number, since it uses less digits than its factorization.

1045651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1045651200 is about 32336.5304261295. The cubic root of 1045651200 is about 1014.9912073462.

The spelling of 1045651200 in words is "one billion, forty-five million, six hundred fifty-one thousand, two hundred".