1409262480 has 240 divisors, whose sum is σ = 4940921856. Its totient is φ = 359562240.

The previous prime is 1409262473. The next prime is 1409262487. The reversal of 1409262480 is 842629041.

1409262480 is a `hidden beast` number, since 1 + 409 + 2 + 6 + 248 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1409262473) and next prime (1409262487).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1409262487) 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, 2298654 + ... + 2299266.

Almost surely, 2^1409262480 is an apocalyptic number.

1409262480 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 1409262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470460928).

1409262480 is an abundant number, since it is smaller than the sum of its proper divisors (3531659376).

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

1409262480 is a wasteful number, since it uses less digits than its factorization.

1409262480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 757 counting only the distinct ones).

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

The square root of 1409262480 is about 37540.1449118141. The cubic root of 1409262480 is about 1121.1506244816.

The spelling of 1409262480 in words is "one billion, four hundred nine million, two hundred sixty-two thousand, four hundred eighty".