1231461504 has 384 divisors, whose sum is σ = 4624663680. Its totient is φ = 305233920.

The previous prime is 1231461479. The next prime is 1231461509. The reversal of 1231461504 is 4051641321.

It is a happy number.

1231461504 is a `hidden beast` number, since 12 + 3 + 146 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1231461509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781799 + ... + 1782489.

It is an arithmetic number, because the mean of its divisors is an integer number (12043395).

Almost surely, 2^1231461504 is an apocalyptic number.

1231461504 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 1231461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312331840).

1231461504 is an abundant number, since it is smaller than the sum of its proper divisors (3393202176).

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

1231461504 is a wasteful number, since it uses less digits than its factorization.

1231461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1231461504 is about 35092.1857968409. The cubic root of 1231461504 is about 1071.8654691205.

The spelling of 1231461504 in words is "one billion, two hundred thirty-one million, four hundred sixty-one thousand, five hundred four".