48629607 has 64 divisors (see below), whose sum is σ = 79564800. Its totient is φ = 26127360.

The previous prime is 48629599. The next prime is 48629611. The reversal of 48629607 is 70692684.

It is not a de Polignac number, because 48629607 - 2³ = 48629599 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48629677) 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, 666123 + ... + 666195.

It is an arithmetic number, because the mean of its divisors is an integer number (1243200).

Almost surely, 2^48629607 is an apocalyptic number.

48629607 is the 5694-th pentagonal number.

48629607 is a deficient number, since it is larger than the sum of its proper divisors (30935193).

48629607 is a wasteful number, since it uses less digits than its factorization.

48629607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 48629607 is about 6973.4931705710. The cubic root of 48629607 is about 365.0062099400.

The spelling of 48629607 in words is "forty-eight million, six hundred twenty-nine thousand, six hundred seven".