49290480 has 120 divisors (see below), whose sum is σ = 175314672. Its totient is φ = 12367872.

The previous prime is 49290467. The next prime is 49290523. The reversal of 49290480 is 8409294.

It is a happy number.

49290480 is a `hidden beast` number, since 4 + 92 + 90 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 10227 + ... + 14253.

Almost surely, 2^49290480 is an apocalyptic number.

49290480 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 49290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87657336).

49290480 is an abundant number, since it is smaller than the sum of its proper divisors (126024192).

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

49290480 is a wasteful number, since it uses less digits than its factorization.

49290480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49290480 is about 7020.7179120087. The cubic root of 49290480 is about 366.6522455302.

It can be divided in two parts, 49290 and 480, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 49290480 in words is "forty-nine million, two hundred ninety thousand, four hundred eighty".