1264413546 has 96 divisors (see below), whose sum is σ = 3150576000. Its totient is φ = 362736000.

The previous prime is 1264413533. The next prime is 1264413559. The reversal of 1264413546 is 6453144621.

1264413546 is a `hidden beast` number, since 1 + 2 + 644 + 1 + 3 + 5 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1264413533) and next prime (1264413559).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1264413546.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458580 + ... + 461328.

It is an arithmetic number, because the mean of its divisors is an integer number (32818500).

Almost surely, 2^1264413546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264413546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575288000).

1264413546 is an abundant number, since it is smaller than the sum of its proper divisors (1886162454).

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

1264413546 is a wasteful number, since it uses less digits than its factorization.

1264413546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2889 counting only the distinct ones).

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

The square root of 1264413546 is about 35558.5931386493. The cubic root of 1264413546 is about 1081.3419378716.

The spelling of 1264413546 in words is "one billion, two hundred sixty-four million, four hundred thirteen thousand, five hundred forty-six".