1201567400 has 96 divisors (see below), whose sum is σ = 3068642880. Its totient is φ = 433920000.

The previous prime is 1201567397. The next prime is 1201567427. The reversal of 1201567400 is 47651021.

It is a self number, because there is not a number n which added to its sum of digits gives 1201567400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330392 + ... + 334008.

It is an arithmetic number, because the mean of its divisors is an integer number (31965030).

Almost surely, 2^1201567400 is an apocalyptic number.

1201567400 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 1201567400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534321440).

1201567400 is an abundant number, since it is smaller than the sum of its proper divisors (1867075480).

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

1201567400 is a wasteful number, since it uses less digits than its factorization.

1201567400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1201567400 is about 34663.6322389908. The cubic root of 1201567400 is about 1063.1210376211.

The spelling of 1201567400 in words is "one billion, two hundred one million, five hundred sixty-seven thousand, four hundred".