946553040 has 480 divisors, whose sum is σ = 3607269120. Its totient is φ = 229920768.

The previous prime is 946553021. The next prime is 946553051. The reversal of 946553040 is 40355649.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 946552986 and 946553004.

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, 12966444 + ... + 12966516.

It is an arithmetic number, because the mean of its divisors is an integer number (7515144).

Almost surely, 2^946553040 is an apocalyptic number.

946553040 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 946553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803634560).

946553040 is an abundant number, since it is smaller than the sum of its proper divisors (2660716080).

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

946553040 is a wasteful number, since it uses less digits than its factorization.

946553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 946553040 is about 30766.1021255537. The cubic root of 946553040 is about 981.8571752190.

The spelling of 946553040 in words is "nine hundred forty-six million, five hundred fifty-three thousand, forty".