1292226480 has 480 divisors, whose sum is σ = 5024678400. Its totient is φ = 303823872.

The previous prime is 1292226473. The next prime is 1292226487. The reversal of 1292226480 is 846222921.

1292226480 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 2 + 2 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1292226473) and next prime (1292226487).

It is a super-2 number, since 2×1292226480² = 3339698551226380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292226487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34925022 + ... + 34925058.

It is an arithmetic number, because the mean of its divisors is an integer number (10468080).

Almost surely, 2^1292226480 is an apocalyptic number.

1292226480 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 1292226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512339200).

1292226480 is an abundant number, since it is smaller than the sum of its proper divisors (3732451920).

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

1292226480 is a wasteful number, since it uses less digits than its factorization.

1292226480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1292226480 is about 35947.5517942460. The cubic root of 1292226480 is about 1089.2131571302.

The spelling of 1292226480 in words is "one billion, two hundred ninety-two million, two hundred twenty-six thousand, four hundred eighty".