1575378400 has 36 divisors (see below), whose sum is σ = 3845894472. Its totient is φ = 630151040.

The previous prime is 1575378391. The next prime is 1575378403. The reversal of 1575378400 is 48735751.

It is a super-3 number, since 3×1575378400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1575378403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 983812 + ... + 985411.

It is an arithmetic number, because the mean of its divisors is an integer number (106830402).

Almost surely, 2^1575378400 is an apocalyptic number.

1575378400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1575378400 is an abundant number, since it is smaller than the sum of its proper divisors (2270516072).

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

1575378400 is a wasteful number, since it uses less digits than its factorization.

1575378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969243 (or 1969230 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 1575378400 is about 39691.0367715433. The cubic root of 1575378400 is about 1163.5765554310.

The spelling of 1575378400 in words is "one billion, five hundred seventy-five million, three hundred seventy-eight thousand, four hundred".