1258463232 has 252 divisors, whose sum is σ = 3975466014. Its totient is φ = 383385600.

The previous prime is 1258463221. The next prime is 1258463237. The reversal of 1258463232 is 2323648521.

1258463232 is a `hidden beast` number, since 12 + 5 + 8 + 4 + 632 + 3 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 979439616 + 279023616 = 31296^2 + 16704^2 .

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 (1258463237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12459982 + ... + 12460082.

Almost surely, 2^1258463232 is an apocalyptic number.

1258463232 is a gapful number since it is divisible by the number (12) 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 1258463232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987733007).

1258463232 is an abundant number, since it is smaller than the sum of its proper divisors (2717002782).

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

1258463232 is a wasteful number, since it uses less digits than its factorization.

1258463232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1258463232 is about 35474.8253272655. The cubic root of 1258463232 is about 1079.6430095830.

The spelling of 1258463232 in words is "one billion, two hundred fifty-eight million, four hundred sixty-three thousand, two hundred thirty-two".