916241472 has 168 divisors, whose sum is σ = 2708498520. Its totient is φ = 296017920.

The previous prime is 916241467. The next prime is 916241483. The reversal of 916241472 is 274142619.

It is a happy number.

916241472 is a `hidden beast` number, since 91 + 62 + 41 + 472 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36288576 + 879952896 = 6024^2 + 29664^2 .

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3126958 + ... + 3127250.

It is an arithmetic number, because the mean of its divisors is an integer number (16122015).

Almost surely, 2^916241472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354249260).

916241472 is an abundant number, since it is smaller than the sum of its proper divisors (1792257048).

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

916241472 is a wasteful number, since it uses less digits than its factorization.

916241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 916241472 is about 30269.4808676991. The cubic root of 916241472 is about 971.2625611192.

It can be divided in two parts, 91624 and 1472, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 916241472 in words is "nine hundred sixteen million, two hundred forty-one thousand, four hundred seventy-two".