49578480 has 200 divisors, whose sum is σ = 196972512. Its totient is φ = 11321856.

The previous prime is 49578449. The next prime is 49578491. The reversal of 49578480 is 8487594.

49578480 is a `hidden beast` number, since 495 + 7 + 84 + 80 = 666.

It is a super-2 number, since 2×49578480² = 4916051358220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44814 + ... + 45906.

Almost surely, 2^49578480 is an apocalyptic number.

49578480 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 49578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98486256).

49578480 is an abundant number, since it is smaller than the sum of its proper divisors (147394032).

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

49578480 is a wasteful number, since it uses less digits than its factorization.

49578480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 49578480 is about 7041.1987615746. The cubic root of 49578480 is about 367.3649649658.

The spelling of 49578480 in words is "forty-nine million, five hundred seventy-eight thousand, four hundred eighty".