488812632 has 192 divisors, whose sum is σ = 1605484800. Its totient is φ = 122492160.

The previous prime is 488812567. The next prime is 488812633. The reversal of 488812632 is 236218884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488812633) 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, 374493 + ... + 375795.

It is an arithmetic number, because the mean of its divisors is an integer number (8361900).

Almost surely, 2^488812632 is an apocalyptic number.

488812632 is a gapful number since it is divisible by the number (42) 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 488812632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802742400).

488812632 is an abundant number, since it is smaller than the sum of its proper divisors (1116672168).

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

488812632 is a wasteful number, since it uses less digits than its factorization.

488812632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1355 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 488812632 is about 22109.1074446708. The cubic root of 488812632 is about 787.7362056877.

The spelling of 488812632 in words is "four hundred eighty-eight million, eight hundred twelve thousand, six hundred thirty-two".