1375466400 has 576 divisors, whose sum is σ = 6209602560. Its totient is φ = 285465600.

The previous prime is 1375466387. The next prime is 1375466419. The reversal of 1375466400 is 46645731.

It is a happy number.

1375466400 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 4 + 6 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1662787 + ... + 1663613.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 2^1375466400 is an apocalyptic number.

1375466400 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 1375466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104801280).

1375466400 is an abundant number, since it is smaller than the sum of its proper divisors (4834136160).

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

1375466400 is a wasteful number, since it uses less digits than its factorization.

1375466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1375466400 is about 37087.2808385840. The cubic root of 1375466400 is about 1112.1157600794.

The spelling of 1375466400 in words is "one billion, three hundred seventy-five million, four hundred sixty-six thousand, four hundred".