49380240 has 480 divisors, whose sum is σ = 213736320. Its totient is φ = 9289728.

The previous prime is 49380203. The next prime is 49380251. The reversal of 49380240 is 4208394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 49380198 and 49380207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2598951 + ... + 2598969.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^49380240 is an apocalyptic number.

49380240 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 49380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

49380240 is an abundant number, since it is smaller than the sum of its proper divisors (164356080).

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

49380240 is a wasteful number, since it uses less digits than its factorization.

49380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 49380240 is about 7027.1075130526. The cubic root of 49380240 is about 366.8746735291.

The spelling of 49380240 in words is "forty-nine million, three hundred eighty thousand, two hundred forty".