1214782464 has 176 divisors, whose sum is σ = 3919235328. Its totient is φ = 326565888.

The previous prime is 1214782463. The next prime is 1214782469. The reversal of 1214782464 is 4642874121.

It is a super-2 number, since 2×1214782464² = 2951392869683822592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214782463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363907 + ... + 367229.

Almost surely, 2^1214782464 is an apocalyptic number.

1214782464 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 1214782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959617664).

1214782464 is an abundant number, since it is smaller than the sum of its proper divisors (2704452864).

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

1214782464 is a wasteful number, since it uses less digits than its factorization.

1214782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3352 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 1214782464 is about 34853.7295565338. The cubic root of 1214782464 is about 1067.0043042257.

The spelling of 1214782464 in words is "one billion, two hundred fourteen million, seven hundred eighty-two thousand, four hundred sixty-four".