1390284000 has 480 divisors, whose sum is σ = 5841291456. Its totient is φ = 317260800.

The previous prime is 1390283989. The next prime is 1390284011. The reversal of 1390284000 is 4820931.

It is an interprime number because it is at equal distance from previous prime (1390283989) and next prime (1390284011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267694 + ... + 2268306.

Almost surely, 2^1390284000 is an apocalyptic number.

1390284000 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 1390284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920645728).

1390284000 is an abundant number, since it is smaller than the sum of its proper divisors (4451007456).

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

1390284000 is an equidigital number, since it uses as much as digits as its factorization.

1390284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1390284000 is about 37286.5123067310. The cubic root of 1390284000 is about 1116.0950317964.

It can be divided in two parts, 1390 and 284000, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 1390284000 in words is "one billion, three hundred ninety million, two hundred eighty-four thousand".