49621824 has 168 divisors, whose sum is σ = 168217088. Its totient is φ = 13685760.

The previous prime is 49621807. The next prime is 49621841. The reversal of 49621824 is 42812694.

49621824 is a `hidden beast` number, since 4 + 9 + 621 + 8 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (49621807) and next prime (49621841).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

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, 124794 + ... + 125190.

Almost surely, 2^49621824 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 49621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84108544).

49621824 is an abundant number, since it is smaller than the sum of its proper divisors (118595264).

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

49621824 is a wasteful number, since it uses less digits than its factorization.

49621824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 49621824 is about 7044.2759741509. The cubic root of 49621824 is about 367.4719900907.

It can be divided in two parts, 4962 and 1824, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 49621824 in words is "forty-nine million, six hundred twenty-one thousand, eight hundred twenty-four".