20478000 has 80 divisors (see below), whose sum is σ = 66040416. Its totient is φ = 5459200.

The previous prime is 20477987. The next prime is 20478023. The reversal of 20478000 is 87402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4294 + ... + 7706.

Almost surely, 2^20478000 is an apocalyptic number.

20478000 is a gapful number since it is divisible by the number (20) 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 20478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33020208).

20478000 is an abundant number, since it is smaller than the sum of its proper divisors (45562416).

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

20478000 is a wasteful number, since it uses less digits than its factorization.

20478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 20478000 is about 4525.2624233297. The cubic root of 20478000 is about 273.5872450536.

The spelling of 20478000 in words is "twenty million, four hundred seventy-eight thousand".