54407760 has 160 divisors (see below), whose sum is σ = 189309312. Its totient is φ = 12810240.

The previous prime is 54407737. The next prime is 54407761. The reversal of 54407760 is 6770445.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54407761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97402 + ... + 97958.

Almost surely, 2^54407760 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 54407760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94654656).

54407760 is an abundant number, since it is smaller than the sum of its proper divisors (134901552).

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

54407760 is a wasteful number, since it uses less digits than its factorization.

54407760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 54407760 is about 7376.1616034358. The cubic root of 54407760 is about 378.9253106882.

The spelling of 54407760 in words is "fifty-four million, four hundred seven thousand, seven hundred sixty".