421654464 has 224 divisors, whose sum is σ = 1545945600. Its totient is φ = 109486080.

The previous prime is 421654447. The next prime is 421654481. The reversal of 421654464 is 464456124.

421654464 is a `hidden beast` number, since 42 + 16 + 544 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (421654447) and next prime (421654481).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×421654464² = 355584974022254592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131472 + ... + 134640.

Almost surely, 2^421654464 is an apocalyptic number.

421654464 is a gapful number since it is divisible by the number (44) 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 421654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772972800).

421654464 is an abundant number, since it is smaller than the sum of its proper divisors (1124291136).

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

421654464 is a wasteful number, since it uses less digits than its factorization.

421654464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3192 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 421654464 is about 20534.2266472346. The cubic root of 421654464 is about 749.8692892209.

The spelling of 421654464 in words is "four hundred twenty-one million, six hundred fifty-four thousand, four hundred sixty-four".