1290046464 has 132 divisors (see below), whose sum is σ = 4257334224. Its totient is φ = 368566272.

The previous prime is 1290046451. The next prime is 1290046481. The reversal of 1290046464 is 4646400921.

1290046464 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 0 + 4 + 646 + 4 = 666.

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 11 ways as a sum of consecutive naturals, for example, 54514 + ... + 74510.

It is an arithmetic number, because the mean of its divisors is an integer number (32252532).

Almost surely, 2^1290046464 is an apocalyptic number.

1290046464 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 1290046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128667112).

1290046464 is an abundant number, since it is smaller than the sum of its proper divisors (2967287760).

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

1290046464 is a wasteful number, since it uses less digits than its factorization.

1290046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20030 (or 20009 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1290046464 is about 35917.2168186790. The cubic root of 1290046464 is about 1088.6003030937.

The spelling of 1290046464 in words is "one billion, two hundred ninety million, forty-six thousand, four hundred sixty-four".