658938480 has 120 divisors (see below), whose sum is σ = 2111467536. Its totient is φ = 169989120.

The previous prime is 658938473. The next prime is 658938509. The reversal of 658938480 is 84839856.

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

It is a super-3 number, since 3×658938480³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229212 + ... + 232068.

Almost surely, 2^658938480 is an apocalyptic number.

658938480 is a gapful number since it is divisible by the number (60) 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 658938480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055733768).

658938480 is an abundant number, since it is smaller than the sum of its proper divisors (1452529056).

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

658938480 is a wasteful number, since it uses less digits than its factorization.

658938480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 658938480 is about 25669.7970385432. The cubic root of 658938480 is about 870.1917400089.

The spelling of 658938480 in words is "six hundred fifty-eight million, nine hundred thirty-eight thousand, four hundred eighty".