1290429504 has 252 divisors, whose sum is σ = 4634957964. Its totient is φ = 340236288.

The previous prime is 1290429493. The next prime is 1290429521. The reversal of 1290429504 is 4059240921.

1290429504 is a `hidden beast` number, since 129 + 0 + 4 + 29 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 768398400 + 522031104 = 27720^2 + 22848^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 365154 + ... + 368670.

Almost surely, 2^1290429504 is an apocalyptic number.

1290429504 is a gapful number since it is divisible by the number (14) 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 1290429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317478982).

1290429504 is an abundant number, since it is smaller than the sum of its proper divisors (3344528460).

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

1290429504 is a wasteful number, since it uses less digits than its factorization.

1290429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1290429504 is about 35922.5486846354. The cubic root of 1290429504 is about 1088.7080346649.

The spelling of 1290429504 in words is "one billion, two hundred ninety million, four hundred twenty-nine thousand, five hundred four".