461153280 has 176 divisors, whose sum is σ = 1686072960. Its totient is φ = 105381888.

The previous prime is 461153279. The next prime is 461153293. The reversal of 461153280 is 82351164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105376 + ... + 109664.

It is an arithmetic number, because the mean of its divisors is an integer number (9579960).

Almost surely, 2^461153280 is an apocalyptic number.

461153280 is a gapful number since it is divisible by the number (40) 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 461153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843036480).

461153280 is an abundant number, since it is smaller than the sum of its proper divisors (1224919680).

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

461153280 is a wasteful number, since it uses less digits than its factorization.

461153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 461153280 is about 21474.4797375862. The cubic root of 461153280 is about 772.5888462030.

The spelling of 461153280 in words is "four hundred sixty-one million, one hundred fifty-three thousand, two hundred eighty".