52067400 has 384 divisors, whose sum is σ = 214272000. Its totient is φ = 10348800.

The previous prime is 52067363. The next prime is 52067437. The reversal of 52067400 is 476025.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52067363) and next prime (52067437).

It is a super-3 number, since 3×52067400³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 2263789 + ... + 2263811.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 2^52067400 is an apocalyptic number.

52067400 is a gapful number since it is divisible by the number (50) 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 52067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

52067400 is an abundant number, since it is smaller than the sum of its proper divisors (162204600).

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

52067400 is a wasteful number, since it uses less digits than its factorization.

52067400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 52067400 is about 7215.7743867169. The cubic root of 52067400 is about 373.4123096808.

The spelling of 52067400 in words is "fifty-two million, sixty-seven thousand, four hundred".