261177480 has 256 divisors, whose sum is σ = 933120000. Its totient is φ = 64834560.

The previous prime is 261177473. The next prime is 261177493. The reversal of 261177480 is 84771162.

261177480 is a `hidden beast` number, since 2 + 6 + 1 + 177 + 480 = 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 63 ways as a sum of consecutive naturals, for example, 970786 + ... + 971054.

It is an arithmetic number, because the mean of its divisors is an integer number (3645000).

Almost surely, 2^261177480 is an apocalyptic number.

261177480 is a gapful number since it is divisible by the number (20) 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 261177480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560000).

261177480 is an abundant number, since it is smaller than the sum of its proper divisors (671942520).

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

261177480 is a wasteful number, since it uses less digits than its factorization.

261177480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 261177480 is about 16160.9863560366. The cubic root of 261177480 is about 639.2124753531.

The spelling of 261177480 in words is "two hundred sixty-one million, one hundred seventy-seven thousand, four hundred eighty".