49929264 has 320 divisors, whose sum is σ = 190464000. Its totient is φ = 12130560.

The previous prime is 49929263. The next prime is 49929287. The reversal of 49929264 is 46292994.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49929263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631977 + ... + 632055.

It is an arithmetic number, because the mean of its divisors is an integer number (595200).

Almost surely, 2^49929264 is an apocalyptic number.

49929264 is a gapful number since it is divisible by the number (44) 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 49929264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232000).

49929264 is an abundant number, since it is smaller than the sum of its proper divisors (140534736).

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

49929264 is a wasteful number, since it uses less digits than its factorization.

49929264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 49929264 is about 7066.0642510523. The cubic root of 49929264 is about 368.2293387722.

The spelling of 49929264 in words is "forty-nine million, nine hundred twenty-nine thousand, two hundred sixty-four".