130409460 has 192 divisors, whose sum is σ = 427472640. Its totient is φ = 32970240.

The previous prime is 130409449. The next prime is 130409507. The reversal of 130409460 is 64904031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218727 + ... + 1218833.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^130409460 is an apocalyptic number.

130409460 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 130409460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

130409460 is an abundant number, since it is smaller than the sum of its proper divisors (297063180).

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

130409460 is a wasteful number, since it uses less digits than its factorization.

130409460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130409460 is about 11419.6961430679. The cubic root of 130409460 is about 507.1110012202. Note that the first 3 decimals are identical.

It can be divided in two parts, 13040 and 9460, that added together give a square (22500 = 150²).

The spelling of 130409460 in words is "one hundred thirty million, four hundred nine thousand, four hundred sixty".