53778480 has 240 divisors, whose sum is σ = 206102880. Its totient is φ = 11526144.

The previous prime is 53778469. The next prime is 53778523. The reversal of 53778480 is 8487735.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×53778480² = 5784249822220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199786 + ... + 200054.

It is an arithmetic number, because the mean of its divisors is an integer number (858762).

Almost surely, 2^53778480 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 53778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103051440).

53778480 is an abundant number, since it is smaller than the sum of its proper divisors (152324400).

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

53778480 is a wasteful number, since it uses less digits than its factorization.

53778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 53778480 is about 7333.3812119649. The cubic root of 53778480 is about 377.4587589992.

The spelling of 53778480 in words is "fifty-three million, seven hundred seventy-eight thousand, four hundred eighty".