874306400 has 144 divisors (see below), whose sum is σ = 2362067568. Its totient is φ = 313344000.

The previous prime is 874306373. The next prime is 874306439. The reversal of 874306400 is 4603478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 641720 + ... + 643080.

It is an arithmetic number, because the mean of its divisors is an integer number (16403247).

Almost surely, 2^874306400 is an apocalyptic number.

874306400 is a gapful number since it is divisible by the number (80) 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 874306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181033784).

874306400 is an abundant number, since it is smaller than the sum of its proper divisors (1487761168).

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

874306400 is a wasteful number, since it uses less digits than its factorization.

874306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 874306400 is about 29568.6726113974. The cubic root of 874306400 is about 956.2127990426.

Adding to 874306400 its reverse (4603478), we get a palindrome (878909878).

The spelling of 874306400 in words is "eight hundred seventy-four million, three hundred six thousand, four hundred".