1396577280 has 352 divisors, whose sum is σ = 5282242560. Its totient is φ = 308183040.

The previous prime is 1396577269. The next prime is 1396577291. The reversal of 1396577280 is 827756931.

It is an interprime number because it is at equal distance from previous prime (1396577269) and next prime (1396577291).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3332911 + ... + 3333329.

Almost surely, 2^1396577280 is an apocalyptic number.

1396577280 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 1396577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641121280).

1396577280 is an abundant number, since it is smaller than the sum of its proper divisors (3885665280).

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

1396577280 is a wasteful number, since it uses less digits than its factorization.

1396577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 1396577280 is about 37370.8078585411. The cubic root of 1396577280 is about 1117.7765412225.

The spelling of 1396577280 in words is "one billion, three hundred ninety-six million, five hundred seventy-seven thousand, two hundred eighty".