1390478400 has 210 divisors, whose sum is σ = 5111525210. Its totient is φ = 370759680.

The previous prime is 1390478393. The next prime is 1390478407. The reversal of 1390478400 is 48740931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1390478393) and next prime (1390478407).

It can be written as a sum of positive squares in 3 ways, for example, as 191102976 + 1199375424 = 13824^2 + 34632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1390478407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 124236 + ... + 134964.

Almost surely, 2^1390478400 is an apocalyptic number.

1390478400 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 1390478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555762605).

1390478400 is an abundant number, since it is smaller than the sum of its proper divisors (3721046810).

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

1390478400 is a wasteful number, since it uses less digits than its factorization.

1390478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10739 counting only the distinct ones).

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

The square root of 1390478400 is about 37289.1190563682. The cubic root of 1390478400 is about 1116.1470496485.

The spelling of 1390478400 in words is "one billion, three hundred ninety million, four hundred seventy-eight thousand, four hundred".