48691440 has 120 divisors (see below), whose sum is σ = 186901728. Its totient is φ = 11128320.

The previous prime is 48691429. The next prime is 48691441. The reversal of 48691440 is 4419684.

48691440 = 1218² + 1219² + ... + 1249².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 48691395 and 48691404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48691441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210 + ... + 9870.

Almost surely, 2^48691440 is an apocalyptic number.

48691440 is a gapful number since it is divisible by the number (40) 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 48691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93450864).

48691440 is an abundant number, since it is smaller than the sum of its proper divisors (138210288).

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

48691440 is a wasteful number, since it uses less digits than its factorization.

48691440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687 (or 9678 counting only the distinct ones).

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

The square root of 48691440 is about 6977.9251930642. The cubic root of 48691440 is about 365.1608473538.

The spelling of 48691440 in words is "forty-eight million, six hundred ninety-one thousand, four hundred forty".