1207946432 has 252 divisors, whose sum is σ = 3243477384. Its totient is φ = 441262080.

The previous prime is 1207946431. The next prime is 1207946447. The reversal of 1207946432 is 2346497021.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (1207946431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12453008 + ... + 12453104.

It is an arithmetic number, because the mean of its divisors is an integer number (12870942).

Almost surely, 2^1207946432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1207946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621738692).

1207946432 is an abundant number, since it is smaller than the sum of its proper divisors (2035530952).

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

1207946432 is a wasteful number, since it uses less digits than its factorization.

1207946432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 1207946432 is about 34755.5237624180. The cubic root of 1207946432 is about 1064.9990616198. Note that the first 3 decimals are identical.

The spelling of 1207946432 in words is "one billion, two hundred seven million, nine hundred forty-six thousand, four hundred thirty-two".