1220746464 has 288 divisors, whose sum is σ = 4222423296. Its totient is φ = 339655680.

The previous prime is 1220746451. The next prime is 1220746469. The reversal of 1220746464 is 4646470221.

1220746464 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 7 + 4 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220746469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231439 + ... + 2231985.

It is an arithmetic number, because the mean of its divisors is an integer number (14661192).

Almost surely, 2^1220746464 is an apocalyptic number.

1220746464 is a gapful number since it is divisible by the number (14) 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 1220746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111211648).

1220746464 is an abundant number, since it is smaller than the sum of its proper divisors (3001676832).

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

1220746464 is an equidigital number, since it uses as much as digits as its factorization.

1220746464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1220746464 is about 34939.1823602099. The cubic root of 1220746464 is about 1068.7476143991.

The spelling of 1220746464 in words is "one billion, two hundred twenty million, seven hundred forty-six thousand, four hundred sixty-four".