419652480 has 512 divisors, whose sum is σ = 1628605440. Its totient is φ = 90832896.

The previous prime is 419652479. The next prime is 419652481. The reversal of 419652480 is 84256914.

It is an interprime number because it is at equal distance from previous prime (419652479) and next prime (419652481).

It is a super-2 number, since 2×419652480² = 352216407940300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419652481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9759339 + ... + 9759381.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2^419652480 is an apocalyptic number.

419652480 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 419652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814302720).

419652480 is an abundant number, since it is smaller than the sum of its proper divisors (1208952960).

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

419652480 is a wasteful number, since it uses less digits than its factorization.

419652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 419652480 is about 20485.4211574964. The cubic root of 419652480 is about 748.6806314944.

The spelling of 419652480 in words is "four hundred nineteen million, six hundred fifty-two thousand, four hundred eighty".