49072464 has 120 divisors (see below), whose sum is σ = 159007680. Its totient is φ = 13837824.

The previous prime is 49072451. The next prime is 49072477. The reversal of 49072464 is 46427094.

It is an interprime number because it is at equal distance from previous prime (49072451) and next prime (49072477).

It is a super-3 number, since 3×49072464³ (a number of 24 digits) contains 333 as substring.

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

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, 89439 + ... + 89985.

It is an arithmetic number, because the mean of its divisors is an integer number (1325064).

Almost surely, 2^49072464 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 49072464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79503840).

49072464 is an abundant number, since it is smaller than the sum of its proper divisors (109935216).

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

49072464 is a wasteful number, since it uses less digits than its factorization.

49072464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

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

The square root of 49072464 is about 7005.1740877726. The cubic root of 49072464 is about 366.1108684996.

The spelling of 49072464 in words is "forty-nine million, seventy-two thousand, four hundred sixty-four".