153254400 has 240 divisors, whose sum is σ = 546985824. Its totient is φ = 37601280.

The previous prime is 153254383. The next prime is 153254401. The reversal of 153254400 is 4452351.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×153254400² = 46973822238720000, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (153254401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499047 + ... + 499353.

Almost surely, 2^153254400 is an apocalyptic number.

153254400 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 153254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273492912).

153254400 is an abundant number, since it is smaller than the sum of its proper divisors (393731424).

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

153254400 is a wasteful number, since it uses less digits than its factorization.

153254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 153254400 is about 12379.5961161905. The cubic root of 153254400 is about 535.1443986737.

The spelling of 153254400 in words is "one hundred fifty-three million, two hundred fifty-four thousand, four hundred".