1047952800 has 108 divisors (see below), whose sum is σ = 3695368950. Its totient is φ = 279452160.

The previous prime is 1047952793. The next prime is 1047952823. The reversal of 1047952800 is 82597401.

It can be written as a sum of positive squares in 3 ways, for example, as 897841296 + 150111504 = 29964^2 + 12252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65575 + ... + 79974.

Almost surely, 2^1047952800 is an apocalyptic number.

1047952800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1047952800 is an abundant number, since it is smaller than the sum of its proper divisors (2647416150).

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

1047952800 is a wasteful number, since it uses less digits than its factorization.

1047952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145575 (or 145559 counting only the distinct ones).

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

The square root of 1047952800 is about 32372.0990978342. The cubic root of 1047952800 is about 1015.7353662153.

The spelling of 1047952800 in words is "one billion, forty-seven million, nine hundred fifty-two thousand, eight hundred".