488952450 has 144 divisors (see below), whose sum is σ = 1557192000. Its totient is φ = 111741120.

The previous prime is 488952437. The next prime is 488952559. The reversal of 488952450 is 54259884.

488952450 is a `hidden beast` number, since 48 + 89 + 524 + 5 + 0 = 666.

It is a super-2 number, since 2×488952450² = 478148996722005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 488952396 and 488952405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82176 + ... + 87924.

Almost surely, 2^488952450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488952450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778596000).

488952450 is an abundant number, since it is smaller than the sum of its proper divisors (1068239550).

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

488952450 is a wasteful number, since it uses less digits than its factorization.

488952450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 488952450 is about 22112.2692186940. The cubic root of 488952450 is about 787.8113054935.

The spelling of 488952450 in words is "four hundred eighty-eight million, nine hundred fifty-two thousand, four hundred fifty".