419473152 has 216 divisors, whose sum is σ = 1428510720. Its totient is φ = 115845120.

The previous prime is 419473151. The next prime is 419473163. The reversal of 419473152 is 251374914.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419473151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499549 + ... + 500387.

Almost surely, 2^419473152 is an apocalyptic number.

419473152 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 419473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714255360).

419473152 is an abundant number, since it is smaller than the sum of its proper divisors (1009037568).

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

419473152 is a wasteful number, since it uses less digits than its factorization.

419473152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 882 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 419473152 is about 20481.0437234043. The cubic root of 419473152 is about 748.5739729810.

The spelling of 419473152 in words is "four hundred nineteen million, four hundred seventy-three thousand, one hundred fifty-two".