667253400 has 384 divisors, whose sum is σ = 2523052800. Its totient is φ = 143769600.

The previous prime is 667253399. The next prime is 667253401. The reversal of 667253400 is 4352766.

It is an interprime number because it is at equal distance from previous prime (667253399) and next prime (667253401).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667253401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2131644 + ... + 2131956.

It is an arithmetic number, because the mean of its divisors is an integer number (6570450).

Almost surely, 2^667253400 is an apocalyptic number.

667253400 is a gapful number since it is divisible by the number (60) 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 667253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261526400).

667253400 is an abundant number, since it is smaller than the sum of its proper divisors (1855799400).

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

667253400 is a wasteful number, since it uses less digits than its factorization.

667253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 667253400 is about 25831.2485180256. The cubic root of 667253400 is about 873.8366689782.

It can be divided in two parts, 66725 and 3400, that added together give a triangular number (70125 = T₃₇₄).

The spelling of 667253400 in words is "six hundred sixty-seven million, two hundred fifty-three thousand, four hundred".