474330954240 has 1280 divisors, whose sum is σ = 2034484784640. Its totient is φ = 103195607040.

The previous prime is 474330954199. The next prime is 474330954269. The reversal of 474330954240 is 42459033474.

474330954240 is a `hidden beast` number, since 4 + 74 + 3 + 30 + 9 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 365713272 + ... + 365714568.

It is an arithmetic number, because the mean of its divisors is an integer number (1589441238).

Almost surely, 2^474330954240 is an apocalyptic number.

474330954240 is a gapful number since it is divisible by the number (40) 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 474330954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017242392320).

474330954240 is an abundant number, since it is smaller than the sum of its proper divisors (1560153830400).

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

474330954240 is a wasteful number, since it uses less digits than its factorization.

474330954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 474330954240 in words is "four hundred seventy-four billion, three hundred thirty million, nine hundred fifty-four thousand, two hundred forty".