488426040 has 192 divisors, whose sum is σ = 1634592960. Its totient is φ = 126443520.

The previous prime is 488425967. The next prime is 488426041. The reversal of 488426040 is 40624884.

488426040 is a `hidden beast` number, since 4 + 8 + 8 + 42 + 604 + 0 = 666.

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 = 488425986 and 488426004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488426041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2479222 + ... + 2479418.

It is an arithmetic number, because the mean of its divisors is an integer number (8513505).

Almost surely, 2^488426040 is an apocalyptic number.

488426040 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 488426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817296480).

488426040 is an abundant number, since it is smaller than the sum of its proper divisors (1146166920).

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

488426040 is a wasteful number, since it uses less digits than its factorization.

488426040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 488426040 is about 22100.3628929482. The cubic root of 488426040 is about 787.5284827189.

The spelling of 488426040 in words is "four hundred eighty-eight million, four hundred twenty-six thousand, forty".