54461736 has 144 divisors (see below), whose sum is σ = 176061600. Its totient is φ = 15156288.

The previous prime is 54461711. The next prime is 54461753. The reversal of 54461736 is 63716445.

It is a happy number.

54461736 is a `hidden beast` number, since 5 + 4 + 4 + 617 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54461736.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151525 + ... + 151883.

It is an arithmetic number, because the mean of its divisors is an integer number (1222650).

Almost surely, 2^54461736 is an apocalyptic number.

54461736 is a gapful number since it is divisible by the number (56) 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 54461736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88030800).

54461736 is an abundant number, since it is smaller than the sum of its proper divisors (121599864).

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

54461736 is a wasteful number, since it uses less digits than its factorization.

54461736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 54461736 is about 7379.8195099880. The cubic root of 54461736 is about 379.0505753733.

The spelling of 54461736 in words is "fifty-four million, four hundred sixty-one thousand, seven hundred thirty-six".