153264400 has 45 divisors (see below), whose sum is σ = 368813541. Its totient is φ = 61206720.

The previous prime is 153264389. The next prime is 153264413. The reversal of 153264400 is 4462351.

The square root of 153264400 is 12380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 55175184 + 98089216 = 7428^2 + 9904^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 247291 + ... + 247909.

Almost surely, 2^153264400 is an apocalyptic number.

153264400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153264400 is the 12380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153264400

153264400 is an abundant number, since it is smaller than the sum of its proper divisors (215549141).

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

153264400 is an frugal number, since it uses more digits than its factorization.

153264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 153264400 is about 535.1560379863.

Multiplying 153264400 by its sum of digits (25), we get a square (3831610000 = 61900²).

153264400 divided by its sum of digits (25) gives a square (6130576 = 2476²).

It can be divided in two parts, 153264 and 400, that added together give a square (153664 = 392²).

The spelling of 153264400 in words is "one hundred fifty-three million, two hundred sixty-four thousand, four hundred".