1045415232 has 168 divisors, whose sum is σ = 3124273152. Its totient is φ = 333849600.

The previous prime is 1045415227. The next prime is 1045415339. The reversal of 1045415232 is 2325145401.

1045415232 is a `hidden beast` number, since 10 + 4 + 5 + 415 + 232 = 666.

1045415232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1045415232² = 2185786014595227648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1045415196 and 1045415205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2267482 + ... + 2267942.

It is an arithmetic number, because the mean of its divisors is an integer number (18596864).

Almost surely, 2^1045415232 is an apocalyptic number.

1045415232 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 1045415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562136576).

1045415232 is an abundant number, since it is smaller than the sum of its proper divisors (2078857920).

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

1045415232 is a wasteful number, since it uses less digits than its factorization.

1045415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1045415232 is about 32332.8815913460. The cubic root of 1045415232 is about 1014.9148519090.

The spelling of 1045415232 in words is "one billion, forty-five million, four hundred fifteen thousand, two hundred thirty-two".