49407624 has 128 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 13754880.

The previous prime is 49407623. The next prime is 49407649. The reversal of 49407624 is 42670494.

49407624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49407624² = 4882226618650752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (49407623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61594 + ... + 62390.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^49407624 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 49407624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

49407624 is an abundant number, since it is smaller than the sum of its proper divisors (111469176).

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

49407624 is a wasteful number, since it uses less digits than its factorization.

49407624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 49407624 is about 7029.0556976026. The cubic root of 49407624 is about 366.9424782456.

The spelling of 49407624 in words is "forty-nine million, four hundred seven thousand, six hundred twenty-four".