153266400 has 216 divisors, whose sum is σ = 617866704. Its totient is φ = 35020800.

The previous prime is 153266381. The next prime is 153266431. The reversal of 153266400 is 4662351.

153266400 is a `hidden beast` number, since 15 + 3 + 2 + 6 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48880 + ... + 51920.

It is an arithmetic number, because the mean of its divisors is an integer number (2860494).

Almost surely, 2^153266400 is an apocalyptic number.

153266400 is a gapful number since it is divisible by the number (10) 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 153266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308933352).

153266400 is an abundant number, since it is smaller than the sum of its proper divisors (464600304).

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

153266400 is a wasteful number, since it uses less digits than its factorization.

153266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 153266400 is about 12380.0807751808. The cubic root of 153266400 is about 535.1583657881.

The spelling of 153266400 in words is "one hundred fifty-three million, two hundred sixty-six thousand, four hundred".