415473408 has 288 divisors, whose sum is σ = 1454673920. Its totient is φ = 114462720.

The previous prime is 415473371. The next prime is 415473427. The reversal of 415473408 is 804374514.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499766 + ... + 1500042.

Almost surely, 2^415473408 is an apocalyptic number.

415473408 is a gapful number since it is divisible by the number (48) 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 415473408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727336960).

415473408 is an abundant number, since it is smaller than the sum of its proper divisors (1039200512).

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

415473408 is a wasteful number, since it uses less digits than its factorization.

415473408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 415473408 is about 20383.1648180551. The cubic root of 415473408 is about 746.1871127026.

The spelling of 415473408 in words is "four hundred fifteen million, four hundred seventy-three thousand, four hundred eight".