49261520 has 120 divisors (see below), whose sum is σ = 144074112. Its totient is φ = 15333120.

The previous prime is 49261489. The next prime is 49261571. The reversal of 49261520 is 2516294.

49261520 = 148² + 149² + ... + 532².

It is a happy number.

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, 67397 + ... + 68123.

Almost surely, 2^49261520 is an apocalyptic number.

49261520 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 49261520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037056).

49261520 is an abundant number, since it is smaller than the sum of its proper divisors (94812592).

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

49261520 is a wasteful number, since it uses less digits than its factorization.

49261520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 49261520 is about 7018.6551418345. The cubic root of 49261520 is about 366.5804241612.

It can be divided in two parts, 4926 and 1520, that added together give a palindrome (6446).

The spelling of 49261520 in words is "forty-nine million, two hundred sixty-one thousand, five hundred twenty".