1387914000 has 320 divisors, whose sum is σ = 5172740352. Its totient is φ = 316416000.

The previous prime is 1387913999. The next prime is 1387914007. The reversal of 1387914000 is 4197831.

It is a super-3 number, since 3×1387914000³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (1387914007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121382 + ... + 1122618.

Almost surely, 2^1387914000 is an apocalyptic number.

1387914000 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 1387914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586370176).

1387914000 is an abundant number, since it is smaller than the sum of its proper divisors (3784826352).

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

1387914000 is a wasteful number, since it uses less digits than its factorization.

1387914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1387914000 is about 37254.7178220424. The cubic root of 1387914000 is about 1115.4604732700.

The spelling of 1387914000 in words is "one billion, three hundred eighty-seven million, nine hundred fourteen thousand".