1071500400 has 150 divisors (see below), whose sum is σ = 3845645232. Its totient is φ = 285724800.

The previous prime is 1071500393. The next prime is 1071500431. The reversal of 1071500400 is 40051701.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×1071500400² = 2296226214400320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 15865 + ... + 48935.

Almost surely, 2^1071500400 is an apocalyptic number.

1071500400 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 1071500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922822616).

1071500400 is an abundant number, since it is smaller than the sum of its proper divisors (2774144832).

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

1071500400 is a wasteful number, since it uses less digits than its factorization.

1071500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33101 (or 33081 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1071500400 is about 32733.7807165625. The cubic root of 1071500400 is about 1023.2869741248.

The spelling of 1071500400 in words is "one billion, seventy-one million, five hundred thousand, four hundred".