418985952 has 96 divisors (see below), whose sum is σ = 1371250944. Its totient is φ = 108825600.

The previous prime is 418985951. The next prime is 418985977. The reversal of 418985952 is 259589814.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 418985895 and 418985904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418985951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20949 + ... + 35732.

It is an arithmetic number, because the mean of its divisors is an integer number (14283864).

Almost surely, 2^418985952 is an apocalyptic number.

418985952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

418985952 is an abundant number, since it is smaller than the sum of its proper divisors (952264992).

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

418985952 is a wasteful number, since it uses less digits than its factorization.

418985952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56712 (or 56704 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The square root of 418985952 is about 20469.1463427276. The cubic root of 418985952 is about 748.2840485639.

The spelling of 418985952 in words is "four hundred eighteen million, nine hundred eighty-five thousand, nine hundred fifty-two".