1387413504 has 135 divisors (see below), whose sum is σ = 4049706297. Its totient is φ = 457703424.

The previous prime is 1387413493. The next prime is 1387413509. The reversal of 1387413504 is 4053147831.

It is a happy number.

The square root of 1387413504 is 37248.

It is a perfect power (a square), and thus also a powerful number.

1387413504 is a `hidden beast` number, since 138 + 7 + 4 + 13 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 623001600 + 764411904 = 24960^2 + 27648^2 .

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 (1387413509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14303184 + ... + 14303280.

Almost surely, 2^1387413504 is an apocalyptic number.

1387413504 is the 37248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387413504

1387413504 is an abundant number, since it is smaller than the sum of its proper divisors (2662292793).

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

1387413504 is an frugal number, since it uses more digits than its factorization.

1387413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 1387413504 is about 1115.3263749935.

Multiplying 1387413504 by its sum of digits (36), we get a square (49946886144 = 223488²).

1387413504 divided by its sum of digits (36) gives a square (38539264 = 6208²).

The spelling of 1387413504 in words is "one billion, three hundred eighty-seven million, four hundred thirteen thousand, five hundred four".