48725040 has 320 divisors, whose sum is σ = 195987456. Its totient is φ = 9732096.

The previous prime is 48725011. The next prime is 48725051. The reversal of 48725040 is 4052784.

48725040 = T₉₈₉ + T₉₉₀ + ... + T₁₀₇₉.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48724989 and 48725007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502272 + ... + 502368.

Almost surely, 2^48725040 is an apocalyptic number.

48725040 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 48725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97993728).

48725040 is an abundant number, since it is smaller than the sum of its proper divisors (147262416).

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

48725040 is a wasteful number, since it uses less digits than its factorization.

48725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 48725040 is about 6980.3323703102. The cubic root of 48725040 is about 365.2448223013.

The spelling of 48725040 in words is "forty-eight million, seven hundred twenty-five thousand, forty".