4074792480 has 480 divisors, whose sum is σ = 15899260608. Its totient is φ = 974592000.

The previous prime is 4074792473. The next prime is 4074792487. The reversal of 4074792480 is 842974704.

4074792480 is a `hidden beast` number, since 40 + 7 + 47 + 92 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4074792473) and next prime (4074792487).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (4074792487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14398419 + ... + 14398701.

Almost surely, 2^4074792480 is an apocalyptic number.

4074792480 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 4074792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949630304).

4074792480 is an abundant number, since it is smaller than the sum of its proper divisors (11824468128).

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

4074792480 is a wasteful number, since it uses less digits than its factorization.

4074792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4074792480 is about 63834.1012312385. The cubic root of 4074792480 is about 1597.2338245937.

The spelling of 4074792480 in words is "four billion, seventy-four million, seven hundred ninety-two thousand, four hundred eighty".