1072463400 has 144 divisors (see below), whose sum is σ = 3628813500. Its totient is φ = 283837440.

The previous prime is 1072463347. The next prime is 1072463423. The reversal of 1072463400 is 43642701.

1072463400 is a `hidden beast` number, since 1 + 0 + 7 + 24 + 634 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 140138244 + 932325156 = 11838^2 + 30534^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244426 + ... + 248774.

Almost surely, 2^1072463400 is an apocalyptic number.

1072463400 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 1072463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814406750).

1072463400 is an abundant number, since it is smaller than the sum of its proper divisors (2556350100).

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

1072463400 is a wasteful number, since it uses less digits than its factorization.

1072463400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1072463400 is about 32748.4869879511. The cubic root of 1072463400 is about 1023.5934385584.

The spelling of 1072463400 in words is "one billion, seventy-two million, four hundred sixty-three thousand, four hundred".