1374890400 has 432 divisors, whose sum is σ = 5375765304. Its totient is φ = 328458240.

The previous prime is 1374890371. The next prime is 1374890411. The reversal of 1374890400 is 40984731.

It is a happy number.

1374890400 is a `hidden beast` number, since 137 + 489 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 179667216 + 1195223184 = 13404^2 + 34572^2 .

It is a super-2 number, since 2×1374890400² = 3780647224024320000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 3463002 + ... + 3463398.

Almost surely, 2^1374890400 is an apocalyptic number.

1374890400 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 1374890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687882652).

1374890400 is an abundant number, since it is smaller than the sum of its proper divisors (4000874904).

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

1374890400 is a wasteful number, since it uses less digits than its factorization.

1374890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1374890400 is about 37079.5145599292. The cubic root of 1374890400 is about 1111.9604992611.

The spelling of 1374890400 in words is "one billion, three hundred seventy-four million, eight hundred ninety thousand, four hundred".