214472400 has 120 divisors (see below), whose sum is σ = 710832480. Its totient is φ = 55211520.

The previous prime is 214472351. The next prime is 214472441. The reversal of 214472400 is 4274412.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31719 + ... + 37881.

It is an arithmetic number, because the mean of its divisors is an integer number (5923604).

Almost surely, 2^214472400 is an apocalyptic number.

214472400 is a gapful number since it is divisible by the number (20) 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 214472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355416240).

214472400 is an abundant number, since it is smaller than the sum of its proper divisors (496360080).

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

214472400 is a wasteful number, since it uses less digits than its factorization.

214472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 214472400 is about 14644.8762371008. The cubic root of 214472400 is about 598.5822079707.

The spelling of 214472400 in words is "two hundred fourteen million, four hundred seventy-two thousand, four hundred".