946950480 has 480 divisors, whose sum is σ = 3969388800. Its totient is φ = 206502912.

The previous prime is 946950469. The next prime is 946950493. The reversal of 946950480 is 84059649.

It is a happy number.

946950480 is a `hidden beast` number, since 9 + 4 + 69 + 504 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2434126 + ... + 2434514.

It is an arithmetic number, because the mean of its divisors is an integer number (8269560).

Almost surely, 2^946950480 is an apocalyptic number.

946950480 is a gapful number since it is divisible by the number (90) 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 946950480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984694400).

946950480 is an abundant number, since it is smaller than the sum of its proper divisors (3022438320).

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

946950480 is a wasteful number, since it uses less digits than its factorization.

946950480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 946950480 is about 30772.5605044494. The cubic root of 946950480 is about 981.9945771730.

The spelling of 946950480 in words is "nine hundred forty-six million, nine hundred fifty thousand, four hundred eighty".