1538901504 has 560 divisors, whose sum is σ = 5724871680. Its totient is φ = 403107840.

The previous prime is 1538901479. The next prime is 1538901517. The reversal of 1538901504 is 4051098351.

It is a super-3 number, since 3×1538901504³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 49641969 + ... + 49641999.

Almost surely, 2^1538901504 is an apocalyptic number.

1538901504 is a gapful number since it is divisible by the number (14) 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 1538901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862435840).

1538901504 is an abundant number, since it is smaller than the sum of its proper divisors (4185970176).

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

1538901504 is an frugal number, since it uses more digits than its factorization.

1538901504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1538901504 is about 39228.8351088839. The cubic root of 1538901504 is about 1154.5257084503.

Adding to 1538901504 its reverse (4051098351), we get a palindrome (5589999855).

The spelling of 1538901504 in words is "one billion, five hundred thirty-eight million, nine hundred one thousand, five hundred four".