1264406920 has 192 divisors, whose sum is σ = 3477565440. Its totient is φ = 404974080.

The previous prime is 1264406911. The next prime is 1264406921. The reversal of 1264406920 is 296044621.

It is not an unprimeable number, because it can be changed into a prime (1264406921) 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, 9955897 + ... + 9956023.

It is an arithmetic number, because the mean of its divisors is an integer number (18112320).

Almost surely, 2^1264406920 is an apocalyptic number.

1264406920 is a gapful number since it is divisible by the number (10) 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 1264406920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738782720).

1264406920 is an abundant number, since it is smaller than the sum of its proper divisors (2213158520).

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

1264406920 is a wasteful number, since it uses less digits than its factorization.

1264406920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1264406920 is about 35558.4999683620. The cubic root of 1264406920 is about 1081.3400489896.

The spelling of 1264406920 in words is "one billion, two hundred sixty-four million, four hundred six thousand, nine hundred twenty".